Combining Philosophers
Ideas for Douglas Lackey, Dag Prawitz and Harold Hodes
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
10 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
|
13831
|
Logic is based on transitions between sentences [Prawitz]
|
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
|
10015
|
Higher-order logic may be unintelligible, but it isn't set theory [Hodes]
|
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
|
13827
|
Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
|
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
|
10011
|
Identity is a level one relation with a second-order definition [Hodes]
|
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
|
13825
|
Natural deduction introduction rules may represent 'definitions' of logical connectives [Prawitz]
|
5. Theory of Logic / H. Proof Systems / 4. Natural Deduction
|
13823
|
In natural deduction, inferences are atomic steps involving just one logical constant [Prawitz]
|
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
|
10016
|
When an 'interpretation' creates a model based on truth, this doesn't include Fregean 'sense' [Hodes]
|
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
|
13826
|
Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
|
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
|
21554
|
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
|
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
|
21553
|
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
|