Combining Texts
Ideas for
'Events and Their Names', 'Truth by Convention' and 'What is Logic?'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
12 ideas
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
13845
|
The various logics are abstractions made from terms like 'if...then' in English [Hacking]
|
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
13840
|
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
|
13844
|
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
|
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
13842
|
Second-order completeness seems to need intensional entities and possible worlds [Hacking]
|
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
10064
|
Quine quickly dismisses If-thenism [Quine, by Musgrave]
|
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
20296
|
Logic needs general conventions, but that needs logic to apply them to individual cases [Quine, by Rey]
|
8998
|
Claims that logic and mathematics are conventional are either empty, uninteresting, or false [Quine]
|
8999
|
Logic isn't conventional, because logic is needed to infer logic from conventions [Quine]
|
9000
|
If a convention cannot be communicated until after its adoption, what is its role? [Quine]
|
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
13837
|
With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
|
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
13839
|
Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
|
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
13843
|
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
|