6 Matching Annotations
- Jan 2025
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4thgenerationcivilization.substack.com 4thgenerationcivilization.substack.com
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Think of how unproven axioms are necessary to make a rational mathematics possible. This is what, anthropologically and historically speaking, religion and spirituality originally provided, the minimal unspoken premises of societal
for - comparison - axioms of mathematics - religious axioms for society - SOURCE - article - Substack - The three civilizational priorities of the next societal transition - Michel Bauwens - 2025, Jan 17
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- Sep 2024
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Gemignani, Michael C. Elementary Topology. 2nd ed. Addison-Wesley Series in Mathematics. Reading, MA: Addison-Wesley Publishing Company, 1971.
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- Sep 2023
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delong.typepad.com delong.typepad.com
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e hard scientist doesis to say that he "stipulates his usage"-that is, he informs youwhat terms are essential to his argument and how he is goingto use them. Such stipulations usually occur at the beginningof the book, in the form of definitions, postulates, axioms, andso forth. Since stipulation of usage is characteristic of thesefields, it has been said that they are like games or have a"game structure."
Depending on what level a writer stipulates their usage, they may come to some drastically bad conclusions. One should watch out for these sorts of biases.
Compare with the results of accepting certain axioms within mathematics and how that changes/shifts one's framework of truth.
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- Feb 2023
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Axiom (Dynamics). There is a distinguished quantum observable, the Hamil-tonian H. Time evolution of states |ψ(t)〉 ∈ H is given by the Schr ̈odingerequationi~ ddt |ψ(t)〉 = H|ψ(t)〉 (1.1)
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Axiom (States). The state of a quantum mechanical system is given by a non-zero vector in a complex vector space H with Hermitian inner product 〈·, ·〉.
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Axiom (Quantum observables). The observables of a quantum mechanical sys-tem are given by self-adjoint linear operators on H.
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