Combining Texts

Ideas for 'fragments/reports', 'Plurals and Complexes' and 'An Outline of Empiricism'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers

10680

The theory of the transfinite needs the ordinal numbers [Hossack]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10684

I take the real numbers to be just lengths [Hossack]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order

10674

A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

10681

In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]

10685

Set theory is the science of infinity [Hossack]