Combining Texts

All the ideas for 'The Life of Reason', 'Letters to Russell' and 'Elements of Intuitionism (2nd ed)'

expand these ideas     |    start again     |     specify just one area for these texts

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5 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy

8000	He who is ignorant of the history of philosophy is doomed to repeat it [Santayana, by MacIntyre]

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic

18832

Mathematical statements and entities that result from an infinite process must lack a truth-value [Dummett]

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

18253

I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

18166

The loss of my Rule V seems to make foundations for arithmetic impossible [Frege]

9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta

18269

Logical objects are extensions of concepts, or ranges of values of functions [Frege]