structure for 'Formal Logic'    |     alphabetical list of themes    |     unexpand these ideas

4. Formal Logic / C. Predicate Calculus PC / 1. Predicate Calculus PC

[general ideas about standard predicate logic]

3 ideas
I don't use 'subject' and 'predicate' in my way of representing a judgement [Frege]
     Full Idea: A distinction of subject and predicate finds no place in my way of representing a judgement.
     From: Gottlob Frege (Begriffsschrift [1879], §03)
     A reaction: Perhaps this sentence could be taken as the beginning of modern analytical philosophy. The old view doesn't seem to me entirely redundant - merely replaced by a much more detailed analysis of what makes a 'subject' and what makes a 'predicate'.
The first clear proof of the consistency of the first order predicate logic was in 1928 [Hilbert/Ackermann, by Walicki]
     Full Idea: The first clear proof of the consistency of the first order predicate logic is found in the 1928 book of Hilbert and Ackermann.
     From: report of Hilbert,D/Ackermann,W (Principles of Theoretical Logic [1928]) by Michal Walicki - Introduction to Mathematical Logic History E.2.1
Predicate logic has connectives, quantifiers, variables, predicates, equality, names and brackets [Melia]
     Full Idea: First-order predicate language has four connectives, two quantifiers, variables, predicates, equality, names, and brackets.
     From: Joseph Melia (Modality [2003], Ch.2)
     A reaction: Look up the reference for the details! The spirit of logic is seen in this basic framework, and the main interest is in the ontological commitment of the items on the list. The list is either known a priori, or it is merely conventional.