Anyone Have Any Blue Archive Novels?

101 蔚 Blue Files: Unscientific Students at the Institute of Science and Technology The Supreme Master of the Way194k WordsOngoing 62Reads5.8Score—Shelves

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I have I have.

104 首 First Deposit of Six Yuan: Summon My Brave Man Big Liver ValleySports1.6M WordsOngoing 7.4kReads8.4Score1.2kShelves

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Everyone, come and take a look. This book is really beautiful, and it has 700,000 words. I guarantee you'll enjoy watching it.

111 蔚 Blue Files: the Truth About the World Xiaoyu Xianguancao294k WordsOngoing 19Reads—Score—Shelves

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Aren't you curious about this name and introduction? ?

113 蔚 Blue Files: Stars Fall, New Stars Rise Tiger and Tiger Show Off Their Power231k WordsOngoing 368Reads6.5Score—Shelves

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I'm giving you a box about outer second lines, no need to thank me. 1. Ordinal stacking (the transition of complexity 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 determinacy 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 ultra-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 (supporter of ultimate L); pluralism believes that there are infinitely many ZFC universes (supporter of force-forcing method). 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 increases strictly, 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.

116 蔚 Azure Files: Feathers of Rebirth Mo Yuming83k WordsOngoing 186Reads5.8Score—Shelves

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There is also a highly recommended book called "Becoming Hina's Little Brother"

119 蔚 Azure Files: Wake up and Become a Student? ! Shadowhhh232k WordsCompleted 1kReads6.6Score125Shelves

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I plan to write a book and already have some ideas. It is a stacked book (Celeste Files Thank you Ciallo~(∠ω< )⌒★

122 蔚 Blue Files: Time Travel, but Counting Secrets Cyan Dog237k WordsOngoing 749Reads—Score106Shelves

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This, I recommend it, it's very good

123 绯 Crimson Archives: Provence Ye Qing881k WordsOngoing 325Reads8.7Score—Shelves

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The plot is in-depth, the adaptation is thorough, the behavior is abstract, and the summary is really nice. The author is currently updating another book instead of this one.

125 万 Ten Thousand Demons Hall Councilor's Splitting Power Wei Xuli225k WordsOngoing 480Reads—Score110Shelves

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It's more of a daily routine. Iroha is a single heroine. She's not included in the main plot for the time being. In the future, it will be slightly integrated with the Honsan worldview (go to Honsan). If you have any suggestions, the author will listen to them. Then read Volume 2 first and then Volume 1. There is no traffic for children.

126 碧 Blue Files: When the Cactus Blooms Half Roasted Fox128k WordsOngoing 4.4kReads—Score1.6kShelves

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Say nothing, push the book, and move forward! The first is a new book by the author!

128 蔚 Weilan: I Am Brother Yajinko Golden Universe322k WordsOngoing 321Reads7.2Score—Shelves

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So why is a topic on my recommendation list [Thinking]

129 重 Reborn as a Student of Abydos? Seyu225k WordsOngoing 1Reads5.8Score—Shelves

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Please recommend yourself

131 蔚 Blue Files: Searching for Yi's Dream, Inviting Your Love Ksdy Xiao Ruoqing324k WordsOngoing 102Reads—Score106Shelves

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These are very good.

136 B BA: Look What I Do, I'm a Coffee Maker 77 Two Plums47k WordsOngoing 5Reads—Score—Shelves

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[Adoration][Adoration]

138 蔚 Azure Files: There Is a Little Fox at the End of the Windy Sand It's Wanyue165k WordsCompleted 423Reads—Score106Shelves

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I would like to recommend what I wrote. The first book is a healing text, and the second book is a depression text [laughing]

139 蔚 Blue Files: Weaving Miracles Under the Blue Sky HinazusanaiziUrban308k WordsOngoing 431Reads—Score105Shelves

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This and this, see if it's okay

140 蔚 Blue Files: the Breakout Task Force Engineers Planting Sunflowers with Shovels285k WordsOngoing 736Reads8.2Score103Shelves

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Is it okay to self-promote?

141 蔚 Blue Files: a Journey of Warmth Black Sheep in the Room145k WordsOngoing 1Reads—Score—Shelves

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Written by myself, a story about emotions and growth. The plot is original. After the main plot, there are some private villains. The general plot is about teachers and students thinking and growing up in the process of fighting against the villain.

142 B BA: I'm Going to Play Kasuga Shadow in Kivo Too! Alice's Feet Smell Good247k WordsOngoing 3.2kReads7.0Score410Shelves

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All very good

143 蔚 Blue Archives: Blue Reverberation's Daily Life in Kiwo Light Script Written by Ayin157k WordsOngoing 269Reads6.4Score—Shelves

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He! Heavy! New! Even! New! Got it! !

147 碧 Granblue Files: I Am Already in Utopia True Narrative350k WordsOngoing 85Reads8.2Score—Shelves

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My own novels tend to be more rigorous science fiction. You can read it. I hope you like it⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄