Combining Philosophers

Ideas for Rescher,N/Oppenheim,P, Michle Friend and Stephen Hetherington

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8 ideas

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

8676	Is mathematics based on sets, types, categories, models or topology? [Friend]

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

8678	Most mathematical theories can be translated into the language of set theory [Friend]

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

8701	The number 8 in isolation from the other numbers is of no interest [Friend]

8702	In structuralism the number 8 is not quite the same in different structures, only equivalent [Friend]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism

8699	Are structures 'ante rem' (before reality), or are they 'in re' (grounded in physics)? [Friend]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism

8696	Structuralist says maths concerns concepts about base objects, not base objects themselves [Friend]

8695	Structuralism focuses on relations, predicates and functions, with objects being inessential [Friend]

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism

8700	'In re' structuralism says that the process of abstraction is pattern-spotting [Friend]