Combining Philosophers

Ideas for Melvin Fitting, Roger Scruton and Oliver,A/Smiley,T

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4 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

3907	Could you be intellectually acquainted with numbers, but unable to count objects? [Scruton]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

14246

If mathematics purely concerned mathematical objects, there would be no applied mathematics [Oliver/Smiley]

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

14247

Sets might either represent the numbers, or be the numbers, or replace the numbers [Oliver/Smiley]

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

3908	If maths contains unprovable truths, then maths cannot be reduced to a set of proofs [Scruton]