Combining Texts

All the ideas for 'works', 'Set Theory and the Continuum Hypothesis' and 'The Structure of Content'

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


4 ideas

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
We could accept the integers as primitive, then use sets to construct the rest [Cohen]
     Full Idea: A very reasonable position would be to accept the integers as primitive entities and then use sets to form higher entities.
     From: Paul J. Cohen (Set Theory and the Continuum Hypothesis [1966], 5.4), quoted by Oliver,A/Smiley,T - What are Sets and What are they For?
     A reaction: I find this very appealing, and the authority of this major mathematician adds support. I would say, though, that the integers are not 'primitive', but pick out (in abstraction) consistent features of the natural world.
11. Knowledge Aims / A. Knowledge / 4. Belief / b. Elements of beliefs
Beliefs are states of the head that explain behaviour, and also items with referential truth-conditions [McGinn]
     Full Idea: We view beliefs both as states of the head explanatory of behaviour, and as items possessed of referential truth-conditions.
     From: Colin McGinn (The Structure of Content [1982]), quoted by Mark Rowlands - Externalism Ch.6
     A reaction: McGinn wants to build a two-part account of meaning on this point, which Rowlands resists. Hume just wanted to define belief by a feeling, but it seems obvious that truth must also be involved.
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Philosophers are the forefathers of heretics [Tertullian]
     Full Idea: Philosophers are the forefathers of heretics.
     From: Tertullian (works [c.200]), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 20.2
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
I believe because it is absurd [Tertullian]
     Full Idea: I believe because it is absurd ('Credo quia absurdum est').
     From: Tertullian (works [c.200]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
     A reaction: This seems to be a rather desperate remark, in response to what must have been rather good hostile arguments. No one would abandon the support of reason if it was easy to acquire. You can't deny its engaging romantic defiance, though.