Combining Texts

Ideas for 'Metaphysics', 'Platonism and the Spiritual Life' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic

17843

The idea of 'one' is the foundation of number [Aristotle]

17850

Each many is just ones, and is measured by the one [Aristotle]

17851

Number is plurality measured by unity [Aristotle]

6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers

10553

A number is a class of classes of the same cardinality [Frege, by Dummett]

10020

Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

9793	Mathematics studies abstracted relations, commensurability and proportion [Aristotle]