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Do we have to prove how parentheses work in the Peano axioms?

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#logic #definition #first-order-logic #axioms #peano-axioms
58
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Tidy Collection of Axioms Used in Mathematics

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#axioms
365
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Fourth axiom in Kolmogorov's probability axiom system?

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#probability-theory #axioms
272
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Why isn't the additive identity also an axiom?

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#notation #definition #axioms #peano-axioms
338
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Hilbert axioms (groups I and II) and first theorem

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#geometry #axioms #axiomatic-geometry
25
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Operations that can be performed in NBG

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#set-theory #axioms
291
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What does elementary function arithmetic without the induction axiom tell us about the exponential function?

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#exponentiation #axioms #peano-axioms #natural-numbers
535
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Multiplying both sides of an equation in proofs

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#group-theory #axioms
767
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Why does $a\times b=b\times a$ for $a,b \in \mathbb{N}$?

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#elementary-number-theory #axioms
113
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Is the "set" of all sets which contain $1$ a set?

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#set-theory #axioms
306
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The powerset as a function

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#logic #set-theory #axioms
184
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Question about properties of "equality"

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#definition #axioms
3.5k
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Proving multiplication is commutative

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#real-analysis #analysis #proof-verification #proof-writing #axioms
374
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When to write something in terms of axioms?

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#axioms #article-writing
510
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Is Non-Euclidean geometry really "Non"?

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#geometry #axioms #noneuclidean-geometry

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