Anyone Have Any Blue Archive Novels?

151 穿 Traveling Through Kivo to Make up for My Regrets, All the Students Fell in Love with Me I Dream of Dawn1.1M WordsCompleted 741Reads5.8Score103Shelves

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The theme is that the teacher is the sun, and if there is a teacher, there will be light.

152 蔚 Blue Files: Kivotos Where the Teacher Does Not Exist Zhu Rihe's SenseiUrban561k WordsOngoing 9.4kReads6.8Score952Shelves

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Self-recommend, give some ratings and comments

153 B One Week of BA, I Have Super Powers I Dream of Dawn394k WordsCompleted 1.1kReads7.1Score133Shelves

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There is always someone you like

154 蔚 Blue Files: the Turning Point Begins in Abydos Shi Qianxia632k WordsCompleted 127Reads5.8Score—Shelves

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Nice! ! ! ! !

161 蔚 Wei Lan: the Mysterious Passerby Abducted by the System Hundred Layer Durian CakeUrban139k WordsOngoing 182Reads—Score—Shelves

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[Learned][Learned][Learned][Learned][Learned]

163 蔚 Wei Lan: Traveling Through the Evil God and Picking up Zero Zhou Mespot Xuanyuan Yiqi189k WordsOngoing 319Reads—Score—Shelves

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(ฅ´ω`ฅ)Read

165 蔚 Blue Files: I Am the Embodiment of Miracles Ordinary Meow101k WordsOngoing 44Reads—Score—Shelves

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Daily shameless self-promotion [Like]

169 蔚 Blue Files: a Daily-Oriented Extraordinary Person Raw Fish Trouble125k WordsOngoing 44Reads—Score—Shelves

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Pushing the book, the blue one seems to have melted the elements of the Lord of Mysteries into it.

173 蔚 Blue Files: Failed to Escape the Tribulation and Came to Kivotos It's Wanyue129k WordsOngoing 668Reads—Score108Shelves

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This book is very good

175 蔚 Blue Files, Redemption in the Abyss Tiger and Tiger Show Off Their Power265k WordsCompleted 702Reads7.5Score104Shelves

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I'm giving you a box about outer second lines, no need to thank me. 1. Ordinal stacking (complexity transition within countable infinity) 1. Finite ordinal numbers: 0, 1, 2, ... 2. Transfinite ordinal numbers: - ω (the first infinite ordinal number)→ω+1→ω·2→ω²→ε₀=φ(1,0) (the first ε ordinal number) - Veblen function: φ(1,1), φ(2,0)=ζ₀, φ(ω,0)→Γ₀=φ(1,0,0) (Fefferman-Schute number) - Large recursion ordinal: SVO (small Veblen number) → LVO (large Veblen number) → BHO (Bachmann-Howard number) 3. Essential limit: All recursive ordinal numbers are <ω₁^CK (Church-Kleene ordinal numbers) and are countable ordinal numbers (|ω₁^CK|=ℵ₀). 2. Cardinal stacking (breaking through the potential level of countability) 1. Driven by the power set axiom: - ℵ₀→ℵ₁=2^ℵ₀→ℵ₂→…→ℵ_ω (the first singular cardinal number) 2. Fixed point transition: - ℵ_{ℵ₀}→ℵ_{ℵ_{ℵ₀}}→…→Aleph fixed point κ=ℵ_κ - higher-order fixed point: αth fixed point→fixed point of fixed point→… 3. Essential limitation: This path is still within the definable range of ZFC (need to assume the power set axiom). 3. Large cardinality axiom (beyond the absolute infinity of ZFC) Strength index: If the cardinality κ exists, the consistency strength of ZFC + "κ exists" is strictly greater than ZFC. - Unreachable cardinals: regular strong limit cardinals (∀λ<κ, 2^λ<κ), which are the first ZFC independent axioms beyond the ℵ fixed point. - Marlowe cardinal numbers: unreachable cardinal numbers "reside" under κ, introducing higher-order regularity. - Weakly compact cardinality: satisfies κ→(κ)²₂ or Π¹₁-indescribable, and is associated with combinatorial properties and logical compactness. - Measurable cardinality: The existence of κ-complete non-primary ultrafilters is the starting point of elementary embedding theory. - Strong cardinality: There is an elementary embedding j: V→M, so that V_λ⊆M (λ is arbitrarily large), breaking through the closure of the local model. - Woodin base: For any A⊆V_κ, there is an elementary embedding that preserves A, which is deeply related to the deterministic axiom (AD). - Super strong base: satisfies V_{j(κ)}⊆M, the closure of j(κ) is stronger than the strong base. - Ultracompact cardinality: for any λ ≥ κ, there exists a λ-ultrafilter, which is a key goal of the inner model scheme. - N-huge cardinality: satisfies ^{j^n(κ)}M⊆M, reflecting iterative embedding closure. - Berkeley cardinality: For any transfer model M containing κ, there exists j: M→M, transcending Kunen inconsistency (the ZF regularity axiom needs to be abandoned). 4. The ultimate structure of the collective universe 1. Von Neumann universe V: - Structure: V₀=∅, V_{α+1}=℘(Vₐ), V=⋃_{α∈Ord}Vₐ. - Properties: V is the expected global model of ZFC, and large cardinality exists in high-level V_κ. 2. Gödel can construct the universe L: - Construction: L₀=∅, L_{α+1}=Def(Lₐ), L=⋃_{α∈Ord}Lₐ. - Defect: L excludes measurable cardinals and large cardinals above (L⊨ "¬∃ measurable cardinal"). 3. Ultimate-L conjecture: - Goal: Construct an intra-canonical model U⊆V that accommodates all known large cardinalities. - Axiomatic requirements: U⊨GCH+strong Ω-conjecture; U compatible with super-compact/huge cardinalities; V=Ultimate-L (inevitable under Ω-logic). - Significance: If established, the continuum hypothesis (CH) can be solved and set theory unified. 5. Beyond V: Multiverse and Consistency Boundary 1. Forcing: Add "generic set G" to V through the partially ordered set ℙ to construct the expanded universe V[G]. For example, Cohen force can make V[G]⊨2^ℵ₀=ℵ₂. 2. Set theory multiverse (Multiverse): - Axiomatic framework (Hamkins): All forced expansions V[G] are equal universes. - Philosophical proposition: monism believes that V is the only absolute universe (ultimate L supporter); pluralism believes that there are infinitely many ZFC universes (force-forcing supporter). 3. Ultimate bound: - Kunen inconsistency: There is no non-trivial elementary embedding j: V→V in ZFC. - Consistency limit: Above the Berkeley cardinality, ZF axioms (such as regularity axioms) need to be sacrificed. The essence of mathematical stacking and the hierarchical pyramid (1) Consistency strength level (from low to high) Recursive ordinal (BHO) < unreachable cardinality < measurable cardinality < Woodin cardinality < ultra-compact cardinality < n-huge cardinality < Berkeley cardinality Note: The intensity of each level strictly increases, and the higher-level axioms imply the consistency of the lower-level axioms. (2) The core mechanism of stacking - recursive definition: the transition of ω→ε₀→Γ₀→BHO is achieved through ordinal functions (Veblen, OCF). - Power set axiom: drives the base expansion ℵₙ→ℵₙ₊₁, such as ℵ₀→ℵ₁→ℵ_ω. - Fixed point: satisfies κ=F(κ) (F is a hierarchical function), such as Aleph fixed point → Marlowe number. - Elementary embedding: jump from measurable cardinality to super strong cardinality through non-trivial embedding of j: V→M. - Inner model planning: construct extensions of L (e. G. L[U]→L[E→]→ultimate L) to accommodate large cardinal numbers.

188 蔚 Blue Archives Love Comes from Classic of Mountains and Seas The Herrscher of the World470k WordsOngoing 446Reads7.0Score102Shelves

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I wrote this book myself. Although I don't have many words now, I will try my best.

189 蔚 Azure Files, Delta Group Where Is the Wind173k WordsOngoing 86Reads5.8Score—Shelves

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Push yourself. Although I have made many mistakes, I will correct them if I know they are wrong.

192 转 So What If I Reincarnate in Kivotos and Play with Equal Pressure? Love Bathing in Small Bathtub782k WordsCompleted 197Reads5.8Score104Shelves

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Who understands the qualitative change between Ace Lukin and Priest?

193 蔚 Celeste Archives: the Yellow Flash of Kivotos I Have No Mercy76k WordsOngoing 45Reads—Score—Shelves

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Don't worry, eat it, it looks great

194 蔚 Blue Files, I Became the Dragon Fruit Great Lady Fox461k WordsOngoing 125Reads8.0Score—Shelves

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The homepage is written by you, please click on it yourself.

196 蔚 Azure Files: Feng Luo Nai He National First-Level Protected Roe Deer264k WordsOngoing 293Reads5.8Score115Shelves

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Self-written, if you are interested, you can try it [please pay attention]

197 蔚 Blue Files: Miracles and Hope Are Always There Laugh as a Beauty and Get Drunk in the World of Mortals279k WordsOngoing 6.7kReads8.7Score1.2kShelves

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There is also a book called "Blue Files, Trying to Become Everyone's White Moonlight"