Combining Texts

All the ideas for 'Intuitionism and Formalism', 'Subjective and Objective' and 'On Freedom'

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


14 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Scientific laws largely rest on the results of counting and measuring [Brouwer]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]
10. Modality / B. Possibility / 5. Contingency
Necessary truths can be analysed into original truths; contingent truths are infinitely analysable [Leibniz]
10. Modality / D. Knowledge of Modality / 2. A Priori Contingent
Only God sees contingent truths a priori [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
If non-existents are possible, their existence would replace what now exists, which cannot therefore be necessary [Leibniz]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
Sense-data are a false objectification of what is essentially subjective [Nagel]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
Inner v outer brings astonishment that we are a particular person [Nagel]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
If you assert that we have an ego, you can still ask if that future ego will be me [Nagel]
16. Persons / F. Free Will / 1. Nature of Free Will
The most difficult problem of free will is saying what the problem is [Nagel]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
23. Ethics / D. Deontological Ethics / 3. Universalisability
As far as possible we should become instruments to realise what is best from an eternal point of view [Nagel]
28. God / A. Divine Nature / 3. Divine Perfections
God does everything in a perfect way, and never acts contrary to reason [Leibniz]