Chapter Summaries

Key Plot Points and Events

• Lu Xiaoqian, a human cultivator, is transported to a distant star by the Dragon Clan to meet the Micro Shepherds, a dependent race of the Dragon Clan.
• Upon arrival, she witnesses the Great Shepherd, an ancient powerhouse, communicating with the Dragon Clan and herself.
• They descend into the star's chromosphere, where Lu Xiaoqian sees numerous "black" masses, which are revealed to be subjects of the Micro Shepherds.

Character Developments

• Lu Xiaoqian: She experiences culture shock and initial awkwardness due to the vast differences between human and Fire Folk (Micro Shepherds) customs. However, she adapts and shows curiosity and respect towards the Great Shepherd.
• Great Shepherd: Revealed to be an ancient powerhouse with a lifespan close to two hundred million years, it demonstrates patience, understanding, and friendliness towards Lu Xiaoqian, despite their different species and communication methods.

Significant Themes

• Cultural Differences and Communication: The chapter highlights the challenges and importance of communication between different species with vastly different customs and languages.
• Dependents and Hierarchy: It explores the relationship between the Dragon Clan and their dependents, with the Dragon Clan having few constraints and no significant hierarchy among their dependents.
• Ancient Powerhouses and Lifespans: The Great Shepherd's immense lifespan is mentioned, contrasting with human history's mere eighty thousand years.

Character Interactions

• Lu Xiaoqian and the Great Shepherd: They interact respectfully, with the Great Shepherd patiently guiding Lu Xiaoqian through their initial meeting, despite the language and cultural barriers.
• Dragon Clan Immortals and the Great Shepherd: They show familiarity and mutual respect, with the Dragon Clan Immortals acknowledging the Great Shepherd's ancient status and right to choose Lu Xiaoqian's pronouns.

Key Plot Points and Events

• The Extremely Tiny Ones (Fire Folk) explore their sun, discovering their world is much smaller than they thought and their spatial perception is distorted.
• They attempt to leave their sun but face limitations due to their size and the sun's density.
• Lu Xiaoqian learns that the Extremely Tiny Ones have an incredibly short lifespan (about one-tenth of a second per individual), but their thoughts travel at the speed of light, making their perceived life span much longer.
• The Dragon Emperor encounters a Fire Folk and shares the Nascent Soul Method, allowing them to achieve Longevity and a different perception of time.

Character Developments

• The Patriarch of the Great Shepherd: Initially introduces the Fire Folk's history and their unique perception of time and space. Reveals their short lifespan and the gift of the Nascent Soul Method from the Dragon Emperor.
• Lu Xiaoqian: A Holy Emissary who learns about the Fire Folk's unique existence and their struggle to achieve Longevity.
• The Dragon Emperor: A celestial being who encounters a Fire Folk and shares the Nascent Soul Method, enabling them to extend their lifespan and perceive time differently.

Significant Themes

• Perception of Time and Space: The Fire Folk's unique perception of time and space, influenced by their size and environment, is a central theme.
• Longevity and Mortality: The Fire Folk's short lifespan and their struggle to achieve Longevity contrasts with the Dragon Emperor's eternal life and his initial disinterest in it.
• Cultivation and Knowledge Sharing: The Dragon Emperor's decision to share the Nascent Soul Method with the Fire Folk highlights the power of knowledge and cultivation in overcoming limitations.

Character Interactions

• The Patriarch of the Great Shepherd and Lu Xiaoqian: They interact to explain the Fire Folk's history, lifespan, and the gift of the Nascent Soul Method.
• The Dragon Emperor and the Fire Folk: Their interaction, though brief, leads to the Fire Folk receiving the Nascent Soul Method, changing their lives significantly.

Key Plot Points and Events

• The Nascent Soul Method unifies senses and time perception among cultivators, leading to a shared sense of time and immortality.
• A melancholic Fire Folk, a tiny sub-particle, encounters a young Dragon Emperor who guides its cultivation.
• The Fire Folk cultivates and gains a longer lifespan but experiences a slower perception of time.
• The Dragon Emperor moves the Fire Folk to a rocky planet for further cultivation and later helps it ascend to the Longevity realm.
• The Fire Folk returns to its kin but struggles to communicate due to different temporal perceptions. It eventually convinces some of its kin to learn the path to immortality.

Character Developments

• The Fire Folk (main character): Begins as a melancholic being with a short lifespan and a fast perception of time. Through cultivation, it gains a longer lifespan but experiences time more slowly, leading to a struggle to communicate with its kin.
• The Dragon Emperor: Initially curious about the Fire Folk, it guides its cultivation and later helps it ascend. It expresses surprise and disappointment at the Fire Folk's lament for a finite life.

Significant Themes

• The unification of senses and time perception among cultivators.
• The subjective experience of time and its impact on communication and relationships.
• The struggle to adapt to changes in one's perception of time.

Character Interactions

• The Fire Folk and the Dragon Emperor: The Dragon Emperor guides the Fire Folk's cultivation and helps it ascend. They have a conversation about the Fire Folk's melancholy and its desire to share its achievements with its kin.
• The Fire Folk and its kin: The Fire Folk struggles to communicate with its kin due to their different perceptions of time but eventually convinces some of them to learn the path to immortality.

Key Plot Points and Events

• The Dragon Emperor arrives on a rocky planet to find it's about assisting alien life with basic infrastructure, contrary to his expectations.
• The little light orb, now an Immortal, struggles to help the Extremely Tiny Ones cultivate due to their slow spiritual energy circulation speed.
• After years of effort, the first batch of disciples dies, but their lifespans are significantly extended.
• The Extremely Tiny Ones develop anointing and transmitting power methods for cultivation, leading to the creation of Foundation Establishment Cultivators.
• The society of Extremely Tiny Ones splits into cultivators and non-cultivators due to different senses of time.
• The Dragon Emperor tries to help establish order but faces repeated failures, leading to the destruction and legend of multiple sects.
• The Extremely Tiny Ones eventually form two groups: one that chooses to abandon rapid thinking and enter a slower temporal flow, and another that researches longevity without abandoning rapid thinking.

Character Developments

• The Dragon Emperor struggles with the mundane tasks of assisting alien life but ultimately endures and works on the reconstruction efforts.
• The little light orb, now an Immortal, faces challenges in teaching disciples and helping the Extremely Tiny Ones cultivate.
• The Extremely Tiny Ones develop their own cultivation methods and society, leading to a split into cultivators and non-cultivators.

Significant Themes

• The struggle between the mundane and the extraordinary, as seen through the Dragon Emperor's perspective.
• The challenges and limitations of teaching and learning, as experienced by the little light orb and the Extremely Tiny Ones.
• The division of society based on different senses of time and the consequences of this division.

Character Interactions

• The Dragon Emperor and the little light orb work together to help the Extremely Tiny Ones, with the Dragon Emperor providing assistance and the little light orb teaching disciples.
• The Extremely Tiny Ones interact with each other, leading to the formation of different groups with distinct cultivation methods and senses of time.

Key Plot Points and Events

• Great Shepherd concludes that time is an illusion, similar to other fabricated concepts like language and bloodlines.
• Lu Xiaoqian understands the insignificance of time in the Way of Celestial Flow and the difficulty of proving its existence.
• Lu Xiaoqian and the Dragon Clan Immortals tour the Micro Shepherds' city and visit a metallic land illuminated by Great Shepherd.
• Lu Xiaoqian asks Great Shepherd about the unique perception gained by Fire Folk cultivating the True Flame God's method.

Character Developments

• Lu Xiaoqian reflects on the illusory nature of concepts and the challenge of understanding subjective perceptions.
• Great Shepherd demonstrates his knowledge and willingness to help Lu Xiaoqian, despite the subjectivity of her inquiry.

Significant Themes

• The illusory nature of concepts and the challenge of understanding subjective perceptions.
• The uniqueness of different civilizations and their Cultivation Techniques.

Character Interactions

• Lu Xiaoqian interacts with Great Shepherd, seeking his knowledge about the True Flame God's method and its unique perception.
• The Dragon Clan Immortals translate for Lu Xiaoqian and Great Shepherd, facilitating their communication.

Key Plot Points and Events

• Lu Xiaoqian spends a prolonged period with the Extremely Tiny Ones to understand their unique cultivation method.
• Lu Xiaoqian returns to the Divine Continent, missing Zhao Qingtan's "children's program."
• Zhao Qingtan challenges and defeats thirteen Void Refining cultivators from the School of Separation, boosting the Ji Sect's reputation.
• Gottingen Sect and Feng Luoyi publish papers attacking School of Separation's foundation, causing unrest within Myriad Dharma Sect.
• Wang Qi publishes a paper on the undecidability of the semigroup word problem, further challenging School of Separation.

Character Developments

• Lu Xiaoqian gains insights from the Extremely Tiny Ones' cultivation method.
• Zhao Qingtan grows in strength and popularity among mortals.
• Wang Qi continues to publish papers challenging School of Separation's theories.
• Feng Luoyi, previously neutral, joins the fray against School of Separation.

Significant Themes

• The ongoing debate and conflict between the Ji Sect and School of Separation.
• The pursuit of knowledge and truth in cultivation and calculation theories.
• The impact of actions and decisions on the cultivation world's dynamics.

Character Interactions

• Lu Xiaoqian interacts with the Extremely Tiny Ones to learn their cultivation method.
• Zhao Qingtan and Su Junyu discuss sect matters and personal lives.
• Gottingen Sect and Feng Luoyi collaborate to challenge School of Separation's foundation.
• Wang Qi's publications continue to provoke School of Separation cultivators.

Key Plot Points and Events

• The Halting Problem's undecidability, discovered by humans, implies a deeper layer of reality.
• Wang Qi's paper on undecidability causes distress in Lian Sect and consternation in the School of Separation.
• Lian Sect's Free and Unfettered faction starts learning School of Separation's logic to counter them.
• The Unnamed Faction enters the fray with a new theory called "realizability."
• A Lian Sect cultivator rewrites the axioms of arithmetic, causing chaos in the Myriad Dharma Sect.
• The division between Lian Sect and the School of Separation blurs as their research entangles, leading to a free-for-all battle.

Character Developments

• Wang Qi: Continues to promote undecidability, causing distress in Lian Sect and consternation in the School of Separation.
• Lian Sect cultivators: Struggle to refute Wang Qi's claims and start learning School of Separation's logic.
• School of Separation cultivators: Feel used by Wang Qi and struggle to maintain their position.
• Unnamed Faction (Andrei Kolmogorov): Enters the debate with a new theory, causing further chaos.
• Su Junyu: Decides to confront Lian Sect and continue his research based on Master of Calculation's ideas.
• Zhao Qingtan: Acts as a messenger between Su Junyu and Wang Qi, carrying Su's manuscripts to Hometown.

Significant Themes

• The undecidability of certain problems and its implications on reality.
• The blurring of boundaries between Lian Sect and the School of Separation due to entangled research.
• The struggle for dominance and the chaos caused by the competition between different factions.

Character Interactions

• Wang Qi and Lian Sect cultivators: Wang Qi's paper causes distress and prompts Lian Sect to learn School of Separation's logic.
• Lian Sect and the School of Separation: Both sides struggle to maintain their positions as their research entangles.
• Su Junyu and Zhao Qingtan: Su shares his manuscripts with Zhao to deliver to Wang Qi, expressing his intention to confront Lian Sect.
• Zhao Qingtan and Wang Qi: Zhao reports his achievements to Wang Qi and delivers Su Junyu's manuscripts.

Key Plot Points and Events

• Wang Qi revisits the Continuum Hypothesis and the Twenty-Three Questions of Ximen.
• Su Junyu plans to work on the follow-up to the Continuum Hypothesis, which Wang Qi had previously set aside.
• Wang Qi expresses his support for Su Junyu's decision, emphasizing the freedom of exploration within the Ji Sect.

Character Developments

• Wang Qi reflects on his past decisions and motivations, realizing that he had abandoned the Continuum Hypothesis path due to his focus on the Ji Sect and his preference for the Bourbaki school's future-oriented approach.
• Wang Qi becomes excited about the possibility of expanding the Ji Sect's scope beyond the Bourbaki school, wanting to make it more interesting and inclusive.
• Chen Youjia struggles with her research on Calculator theory, feeling frustrated with her progress. Wang Qi offers her support and shares recent research papers to help her.

Significant Themes

• Freedom and Exploration: Wang Qi emphasizes the importance of allowing Ji Sect members to explore their interests in Mathematics, even if it deviates from the sect's main focus.
• Personal Growth and Change: Wang Qi reflects on his past decisions and realizes that his current school, the Ji Sect, can be different from the Bourbaki school of his past life, allowing for more personal expression and expansion.
• Longevity and Endless Journey: Wang Qi finds joy in the idea of eternal life paired with an endless, interesting journey in Mathematics.

Character Interactions

• Wang Qi and Zhao Qingtan discuss Su Junyu's plans to work on the Continuum Hypothesis follow-up, with Wang Qi expressing support and excitement.
• Wang Qi comforts Chen Youjia, who is struggling with her research, by sharing recent research papers and showing understanding and support.

Key Plot Points and Events

• Ke Lanyin, the Free and Unfettered Cultivator, fears reading a manuscript written by the Master of Calculation about the Beast Mechanism cluster due to its profound nature.
• Wang Qi obtains the manuscript and shares it with select Ji Sect disciples, including Chen Youjia.

Character Developments

• Ke Lanyin reveals his past achievements and feelings of inadequacy compared to the Master of Calculation, showing his humility and fear of overreaching.
• Wang Qi demonstrates his ambition and resourcefulness in obtaining the manuscript and sharing it with his peers.

Significant Themes

• The pursuit of knowledge and the fear of being overwhelmed by it.
• The comparison of one's abilities to those of a superior, leading to feelings of inadequacy or humility.
• The desire for power and knowledge, as represented by the Beast Mechanism cluster.

Character Interactions

• Ke Lanyin and the young man (Wang Qi's martial uncle) discuss the manuscript, revealing Ke Lanyin's past and his fear of reading it.
• Wang Qi shares the manuscript with his Ji Sect peers, showing his eagerness to share knowledge and gain insights together.

Key Plot Points and Events

• Wang Qi discusses the power and rarity of the Beast Mechanism collective with his fellow cultivators.
• The group learns that only two cultivators, Wang Qi and Master of Calculation, are truly qualified to control the Beast Mechanism collective.
• Zhao Qingtan and others express caution and reluctance to engage with the Beast Mechanism due to its potential risks and unresolved issues.
• Dai Taichong expresses interest in the Beast Mechanism, despite the risks.
• Wang Qi decides to assign the remaining spots for Beast Mechanism research to Su Junyu.

Character Developments

• Wang Qi: Shows leadership and ambition in expanding Ji Sect's fields of study, despite the risks involved.
• Zhao Qingtan: Demonstrates caution and a focus on established fields, reflecting his role as a bellwether for Ji Sect.
• Dai Taichong: Exhibits boldness and a willingness to take risks, contrasting with Zhao Qingtan's approach.
• Su Junyu: Although not present, his expertise in continuum theory is recognized by Wang Qi, suggesting he is respected and valued within Ji Sect.

Significant Themes

• Ambition vs. Caution: Wang Qi's ambition is contrasted with Zhao Qingtan's caution, reflecting the tension between pushing boundaries and maintaining stability.
• Risk vs. Reward: The potential risks and benefits of engaging with the Beast Mechanism collective are debated, highlighting the theme of risk-taking in pursuit of power and knowledge.
• Foundations vs. Expansion: The discussion touches on the importance of foundational work (like the Bourbaki school) versus expansion into new fields, reflecting the balance between consolidation and growth.

Character Interactions

• Wang Qi interacts with his fellow cultivators, trying to persuade them to engage with the Beast Mechanism collective.
• Zhao Qingtan and others express their concerns and reluctance, challenging Wang Qi's perspective.
• Dai Taichong's boldness stands out among the group, contrasting with the caution expressed by others.
• Wang Qi's decision to assign the remaining spots to Su Junyu shows his respect for Su Junyu's expertise and his role in Ji Sect's hierarchy.

Key Plot Points and Events

• The Master of Calculation (MoC) reveals his understanding of the Beast Mechanism cluster, which he views as a chaotic, non-linear system.
• MoC explains that he doesn't treat each Microbeast mechanism as an individual but as part of a collectively moving whole, akin to "oscillators" in condensed matter physics.
• He compensates for information loss due to unpredictable movement by using multiple sets of "oscillators" to transmit the same data, similar to Quantum algorithms.
• MoC's approach allows the Beast Mechanism cluster to bear its own computational resources, with a slight surplus, and exhibit new functions at a larger scale through "emergence."

Character Developments

• MoC is shown to be a pioneer in non-linear problems and chaos mathematics, with a deep understanding of complex systems and algorithms.
• Wang Qi, impressed by MoC's work, realizes the potential of this technology in his own world, envisioning a network created solely with mobile terminals.

Significant Themes

• The power of non-linear thinking and chaos mathematics in understanding and utilizing complex systems.
• The concept of "emergence" in complex adaptive systems, where new properties arise at a larger scale.
• The intersection of mathematics, technology, and magic in the cultivation world.

Character Interactions

• MoC shares his understanding of the Beast Mechanism cluster with Wang Qi, who is astonished by the advanced nature of MoC's work.
• Ke Lanyin senses the transformation happening in Wang Qi's cultivation base but doesn't interfere, expressing relief, joy, and regret at the developments.

Key Plot Points and Events

• Wang Qi rapidly progresses in understanding the beast automaton's underlying layers, akin to a breakthrough in the "Nascent Soul Law."
• He realizes the potential of the "Master of Calculation" book, which could lead to a logarithmic surge in his strength if fully comprehended.
• Wang Qi discovers that the technology in the book is parallel to known mathematics but has unique aspects due to its use of spiritual power as an information carrier.
• He makes three copies of the book and gives one each to Chen Youjia and Dai Taichong for research, warning them about its risks.
• Chen Youjia finds inspiration from the book and connects it to her past research on language and logic, specifically Feng Luoyi's work on infinite axioms and self-reference.

Character Developments

• Wang Qi: He continues to demonstrate his exceptional intellect and rapid learning, delving into the microscopic layers of the beast automaton and understanding the potential of the "Master of Calculation" book.
• Chen Youjia: She shows her dedication to research and her ability to connect seemingly unrelated concepts, finding inspiration in the book that could advance her own work on language and logic.
• Dai Taichong: He is portrayed as a responsible and understanding senior, willing to support Wang Qi and Chen Youjia's research despite the risks involved.

Significant Themes

• The power of knowledge and understanding, as Wang Qi's rapid progress demonstrates the potential of mastering new information.
• The risks and benefits of pushing the boundaries of knowledge, as seen in the potential of the "Master of Calculation" book and the caution Wang Qi exercises in sharing it.
• The interconnectedness of different fields of study, as Chen Youjia finds inspiration in the book that could advance her work on language and logic.

Character Interactions

• Wang Qi and Chen Youjia: They continue to work together, with Wang Qi sharing his findings with Chen Youjia and cautioning her about the risks involved in studying the book. Chen Youjia, in turn, finds inspiration in the book that could advance her own work.
• Wang Qi and Dai Taichong: Wang Qi shares the book with Dai Taichong, acknowledging the risks involved and trusting Dai Taichong to handle it responsibly. Dai Taichong, in turn, shows understanding and support for Wang Qi and Chen Youjia's research.

Key Plot Points and Events

• Chen Youjia wakes up after fainting, having touched upon an "inspiration" related to Master of Calculation's achievement.
• She grasps the reasoning behind Master of Calculation's accomplishment and connects it to existing Calculator theories.
• Chen Youjia completes her understanding of Calculator theory while Wang Qi experiences a Magical Power leak due to her revelation.

Character Developments

• Chen Youjia: She overcomes her mental block and makes a significant breakthrough in her understanding of Calculator theory, leading to a state of mental exhaustion.
• Wang Qi: He realizes a fundamental cognitive error regarding the domain of Calculator theory and its relation to School of Separation.

Significant Themes

• The relationship between School of Separation and School of Union in the field of Calculator theory.
• The development of Calculator theory and its connection to historical figures in both the Divine Continent and Earth.
• The struggle and eventual breakthrough in understanding complex concepts.

Character Interactions

• Wang Qi and Chen Youjia: They interact as Wang Qi helps Chen Youjia articulate her thoughts and later checks on her after her mental exhaustion.
• Zhao Qingtan and Wang Qi: Zhao Qingtan expresses concern for Chen Youjia, and Wang Qi shares his sudden realization with her.

Key Plot Points and Events

• Wang Qi realizes his cognitive bias and the marginalization of formalism and intuitionism in Earth's mathematical history.
• He compares the fate of formalism and intuitionism to the Southern Ming Dynasty, overshadowed by the dominant Bourbaki school.
• Wang Qi is shocked to learn that his wife, Jia, a member of the Ji Sect, has created "type theory," a School of Separation achievement.

Character Developments

• Wang Qi grapples with his cognitive bias and the changing landscape of mathematical history.
• Zhao Qingtan is startled by Jia's achievement and asks Wang Qi about it.
• Ke Lanyin feels overwhelmed by Wang Qi's sudden change and decides to request more help.

Significant Themes

• The evolution and marginalization of mathematical schools of thought (formalism, intuitionism, and the Bourbaki school).
• The struggle between the School of Separation and the School of Unity in the Divine Continent.
• The influence of Earth's technological history on the Divine Continent's spiritual energy technology.

Character Interactions

• Wang Qi and Zhao Qingtan discuss Jia's achievement and its implications.
• Ke Lanyin reflects on his limitations and decides to seek more help to handle Wang Qi's situation.

Key Plot Points and Events

• Wang Qi summarizes the development of type theory, which aims to overcome Gödel's Incompleteness Theorems by "cutting off self-reference."
• Master of Calculation, uninterested in foundational arithmetic principles, completes a rigorous system, including the chaotic topological network algorithm of the Beast Mechanism cluster.
• The Beast Mechanism cluster is secure, strongly normalizing, and strongly typed, ensuring no unexpected results.
• Wang Qi realizes that in this world, foundational mathematics achievements are deduced from applications, challenging his cognitive biases.

Character Developments

• Wang Qi acknowledges the significance of Chen Youjia's achievement in type theory.
• Chen Youjia is surprised by her own accomplishment and its implications.
• Wang Qi encourages Chen Youjia to be confident in her strength.

Significant Themes

• The relationship between theory and application in mathematics and programming.
• The impact of foundational mathematics on the broader field of cultivators.
• The potential shift in the power dynamics between schools of thought, with the Ji Sect rising.

Character Interactions

• Wang Qi and Chen Youjia discuss her achievement and its implications.
• Wang Qi agrees to help Chen Youjia contact Master of Calculation to seek advice and express gratitude.
• Wang Qi and Chen Youjia banter playfully about the naming of type theory.

Key Plot Points and Events

• Chen Youjia seeks help from the Master of Calculation, Wang Qi's father-in-law, and Hai Ting's True Person to advance her research on the Beast Mechanism cluster algorithm.
• She receives guidance and replies from all three, each offering valuable insights and resources.
• Chen Youjia shares her progress with Su Junyu, her fellow researcher in the Ji Sect.

Character Developments

• Chen Youjia demonstrates initiative and determination in pursuing her research, seeking help from prominent figures in the field.
• Wang Qi continues his work at the Ji Sect, delegating formal language theory to the next generation of Yu Clan mathematicians.
• The Master of Calculation shows interest in Chen Youjia's work, offering guidance.
• Hai Ting's True Person expresses a desire to influence the younger generation, including Wang Qi, towards the School of Separation.
• Feng Luoyi continues his research on "Yuan Suan Zhi Suan," inspired by Chen Youjia's work on the axiom of infinity.

Significant Themes

• The pursuit of knowledge and research, with characters seeking guidance and collaboration to advance their understanding.
• The influence of mentors and prominent figures on younger generations, both in terms of guidance and inspiration.
• The potential for change and growth within individuals and institutions, as seen in Chen Youjia's shift towards School of Separation principles and the Ji Sect's potential for evolution.

Character Interactions

• Chen Youjia interacts with Wang Qi's father-in-law, the Master of Calculation, and Hai Ting's True Person, seeking their help and guidance.
• Wang Qi continues his work at the Ji Sect, delegating tasks to the next generation and maintaining his focus on his own research.
• Su Junyu and Chen Youjia maintain their collaboration, sharing insights and progress in their research.
• Feng Luoyi and Turing discuss the potential of Chen Youjia's work, with Feng Luoyi expressing interest in learning more about formal linguistics.

Key Plot Points and Events

• A large-scale debate is happening between the Gottingen Sect and the Unnamed faction, involving almost all prominent cultivators of the Myriad Dharma Sect.
• The debate's impact is greater than previous ones, involving broader forces and even neutral factions.
• Su Junyu, after making arrangements with his family, leaves for Burning Gold Valley.

Character Developments

• Chen Jingyun, the Sect Master, watches the events unfold with unease but decides to focus on his work.
• Su Junyu, driven by a premonition of his impending Dao attainment, visits Xiang Qi to express his feelings before embarking on a dangerous journey to read Master of Calculation's manuscript.

Significant Themes

• The fate of the sect and the human race hangs in the balance due to the ongoing debate and the potential breakthroughs in calculation theory.
• The struggle between different factions and their influence on the sect and its cultivators.
• The personal growth and relationships of cultivators, such as Su Junyu and Xiang Qi, amidst the larger conflicts.

Character Interactions

• Chen Jingyun observes the events unfolding in the sect with a sense of helplessness and unease.
• Su Junyu and Xiang Qi's relationship deepens as Su Junyu expresses his feelings and shares his plans with her before embarking on a dangerous journey.

Key Plot Points and Events

• Feng Luoyi, a genius of the Gottingen Sect, makes significant strides in proving the safety of the axiom of infinity and the law of excluded middle, challenging the School of Separation's stance.
• Chen Youjia, a cultivator with ties to both the School of Separation and the Ji Sect, publishes a paper favoring the School of Separation, causing distress among School of Separation cultivators.
• The Gottingen Sect, facing the Unzhou Calculation's pressure, gambles by proposing a double negation translation, further challenging the School of Separation's principles.

Character Developments

• Feng Luoyi: Proves the safety of key axioms, demonstrating his genius and commitment to the Gottingen Sect's survival.
• Chen Youjia: Publishes a controversial paper, causing distress among School of Separation cultivators and sparking debate.
• Turing Zhenren: Discusses the implications of Feng Luoyi's and Chen Youjia's work, expressing concern about the potential consequences of combining their theories.

Significant Themes

• The struggle between the Gottingen Sect and the School of Separation, with Feng Luoyi's work challenging the School of Separation's fundamental principles.
• The tension between the School of Separation and the Ji Sect, exemplified by Chen Youjia's controversial paper.
• The exploration of new approaches in calculation methods, with Feng Luoyi and Chen Youjia pushing the boundaries of what's accepted.

Character Interactions

• Feng Luoyi and Turing Zhenren: Discuss the implications of Feng Luoyi's and Chen Youjia's work, with Feng Luoyi expressing confidence in Chen Youjia's theories.
• School of Separation cultivators and Chen Youjia: React with distress and anger to Chen Youjia's paper, labeling her a "traitor" to the School of Separation.
• Gottingen Sect and the School of Separation: Engage in a tense standoff, with the Gottingen Sect's desperate gamble challenging the School of Separation's principles.

Key Plot Points and Events

• The School of Separation Mathematicians receive news that Intuitionist Logic is a proper subset of Gottingen Sect Logic, a significant blow to their beliefs.
• Hai Ting, a prominent School of Separation Mathematician, becomes overwhelmed and distressed by this news, leading to a breakdown.
• Hai Ting's Magical Power causes destruction around him, but he is stopped by a young disciple.
• Hai Ting acknowledges the end of the contemporary School of Separation and advises his disciple to join the School of Separation in the future.
• A Free and Unfettered Cultivator, Vanhbach, plans a counterattack strategy against the School of Separation's advancements.

Character Developments

• Hai Ting: Struggles with the news, experiences a breakdown, and accepts the end of the contemporary School of Separation.
• Vanhbach: Plans a counterattack strategy against the School of Separation, targeting their cultivators.

Significant Themes

• The struggle between the School of Separation and the Gottingen Sect, with each side trying to accommodate the other's achievements.
• The conflict between the Master of Calculation and the Gottingen Sect, which goes beyond the personal rivalry between Ke Lanyin and the Master of Calculation.
• The potential future dominance of the Myriad Dharma Sect by Wang Qi, as predicted by Hai Ting.

Character Interactions

• Hai Ting and his young disciple: Hai Ting advises his disciple to join the School of Separation in the future, acknowledging the end of the contemporary School of Separation.
• Vanhbach and the School of Separation cultivators: Vanhbach plans to target School of Separation cultivators in his counterattack strategy.

Key Plot Points and Events

• The second year of Yu Li is nearing its end, marked by chaos within the Myriad Dharma Sect.
• The sect is divided into the School of Separation and the School of Separation, engaged in a brutal battle.
• The Ai Family, collateral descendants of Yuan Li Shangren, is discussing the sect's internal strife.
• The Myriad Dharma Sect's mathematicians are involved in a "mathematical crisis" triggered by the "incompleteness theorems."
• The School of Separation has established a foothold on a solid foundation with a new axiomatic system.
• A Free and Unfettered of the School of Separation sends a letter challenging Feng Luoyi's well-founded sets' compatibility with classical set theory and logic.

Character Developments

• Ai Changyuan: He is disdainful of the sect's internal strife and the idiots trying to restore the glory of their ancestors. He is aware of the upcoming mathematical crisis and its potential consequences.
• Lu Qianqian: She is curious and concerned about the sect's affairs but is not deeply involved. She is protective of Ai Changyuan and worries about his safety.
• Master of Calculation (Xiboche): He is gratified by the School of Separation's progress but is shaken by the letter challenging Feng Luoyi's work. His health is severely affected.

Significant Themes

• The struggle for power and influence within the Myriad Dharma Sect.
• The mathematical crisis and its impact on the sect and its members.
• The consequences of mathematical principles diverging from established norms.
• The struggle to establish a solid foundation for the School of Separation's mathematical principles.

Character Interactions

• Ai Changyuan and Lu Qianqian: They discuss the sect's internal strife, with Ai Changyuan providing insights and Lu Qianqian showing concern for him.
• Master of Calculation and his disciple: The disciple brings a letter challenging Feng Luoyi's work, causing the Master of Calculation distress.