Combining Philosophers

All the ideas for Thrasymachus, Luitzen E.J. Brouwer and Judith (Jarvis) Thomson

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21 ideas

4. Formal Logic / E. Nonclassical Logics / 7. Paraconsistency
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
For intuitionists excluded middle is an outdated historical convention [Brouwer]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics is a mental activity which does not use language [Brouwer, by Bostock]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Brouwer saw reals as potential, not actual, and produced by a rule, or a choice [Brouwer, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]
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]
Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
9. Objects / E. Objects over Time / 5. Temporal Parts
Temporal parts is a crazy doctrine, because it entails constantly creating stuff ex nihilo [Thomson, by Koslicki]
How can point-duration slices of people have beliefs or desires? [Thomson]
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]
25. Social Practice / F. Life Issues / 3. Abortion
It can't be murder for a mother to perform an abortion on herself to save her own life [Thomson]
A newly fertilized ovum is no more a person than an acorn is an oak tree [Thomson]
Maybe abortion can be justified despite the foetus having full human rights [Thomson, by Foot]
The foetus is safe in the womb, so abortion initiates its death, with the mother as the agent. [Foot on Thomson]
The right to life does not bestow the right to use someone else's body to support that life [Thomson]
The right to life is not a right not to be killed, but not to be killed unjustly [Thomson]
Is someone's right to life diminished if they were conceived by a rape? [Thomson]
No one is morally required to make huge sacrifices to keep someone else alive for nine months [Thomson]
28. God / C. Attitudes to God / 3. Deism
Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]