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'Metaphysics', 'Ontology and the Ambitions of Metaphysics' and 'fragments/reports'
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14 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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21644
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Numbers are used as singular terms, as adjectives, and as symbols [Hofweber]
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21646
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The Amazonian Piraha language is said to have no number words [Hofweber]
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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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17845
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If only rectilinear figures existed, then unity would be the triangle [Aristotle]
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17844
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The unit is stipulated to be indivisible [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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646
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When we count, are we adding, or naming numbers? [Aristotle]
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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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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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21665
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The fundamental theorem of arithmetic is that all numbers are composed uniquely of primes [Hofweber]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
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21649
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How can words be used for counting if they are objects? [Hofweber]
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