Combining Texts
Ideas for
'Metaphysics', '30: Book of Amos' and 'Intro to Gdel's Theorems'
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13 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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560
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Mathematical precision is only possible in immaterial things [Aristotle]
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9076
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Mathematics studies the domain of perceptible entities, but its subject-matter is not perceptible [Aristotle]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
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10958
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Perhaps numbers are substances? [Aristotle]
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13273
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Pluralities divide into discontinous countables; magnitudes divide into continuous things [Aristotle]
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10599
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For primes we write (x not= 1 ∧ ∀u∀v(u x v = x → (u = 1 ∨ v = 1))) [Smith,P]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
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10610
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The reals contain the naturals, but the theory of reals doesn't contain the theory of naturals [Smith,P]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
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12074
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The one in number just is the particular [Aristotle]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
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17844
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The unit is stipulated to be indivisible [Aristotle]
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17845
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If only rectilinear figures existed, then unity would be the triangle [Aristotle]
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17859
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Units came about when the unequals were equalised [Aristotle]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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17861
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Two men do not make one thing, as well as themselves [Aristotle]
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646
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When we count, are we adding, or naming numbers? [Aristotle]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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10619
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The truths of arithmetic are just true equations and their universally quantified versions [Smith,P]
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