Combining Texts

Ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Unpublished Notebooks 1872-74'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

2 ideas

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
14880 Logic is just slavery to language [Nietzsche]
     Full Idea: Logic is merely slavery in the fetters of language.
     From: Friedrich Nietzsche (Unpublished Notebooks 1872-74 [1873], 29 [008])
     A reaction: I don't think I agree with this, but I still like it.
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
     Full Idea: Löwenheim's theorem reads as follows: If a first-order proposition is satisfied in any domain at all, it is already satisfied in a denumerably infinite domain.
     From: Thoralf Skolem (Remarks on axiomatised set theory [1922], p.293)