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|Legacy
BTCBTC
💲71053.86
-
0.48%
ETHETH
💲2090.61
-
1.02%
SOLSOL
💲88.27
-
1.2%
TRUMPTRUMP
💲4.19
+
35.6%
USDCUSDC
💲0.9999
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0.01%
XRPXRP
💲1.40
-
0.71%

Lux(λ) |光灵|GEB
Lux(λ) |光灵|GEB|8月 17, 2025 14:53
1/Bitcoin cannot be fully described by Turing machine theory. UTXO trading is a deterministic Turing machine; Block competition approximates non deterministic Turing machines. But the continuity and irreversibility of blockchain go beyond the boundaries of computability. 2/BFT system relies on human arbitration in multi branch conflicts; Bitcoin uses PoW to embed rulings into the dissipative process of physical time, allowing the system to spontaneously generate a unique history. 3/Key: Bitcoin, through the "craftsmanship" of ordinal logic system, introduces intuitive judgment beyond formal system, and constructs oracle machine and its process. This injects uncomputable 'completeness' into the computing system. 4/ Spatial dimension: Consistency → Static, computable logic. Time dimension: completeness → dynamic, uncomputable process. 5/ G ö del's incompleteness theorem: Consistency can be explored within formal systems, but completeness must go beyond form. Bitcoin introduces uncomputable completeness into computing systems through PoW+ordinal logic, becoming a hyper formal system.
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Timeline

9月 16, 11:06Atomic swap implementation between BTC ⇄ SOL
9月 16, 06:55Risks and Historical Lessons for Bitcoin Node Operators
9月 15, 22:20There are many entrances to the Bitcoin rabbit hole.
9月 15, 21:08Quantum threats may be unsolvable
9月 15, 09:07Bitcoin integrates into Starknet staking mechanism
9月 15, 05:46The design philosophy of integrated hardware and software holism
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9月 14, 11:44Research on BitScaler on Bitcoin
9月 13, 19:47IREN builds large-scale AI and Bitcoin computing factories
9月 13, 13:30Use Core to stake BTC and retain Bitcoin custody rights

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