Combining Texts

All the ideas for 'Logical Consequence', 'Philosophy in the Tragic Age of the Greeks' and 'Identity, Ostension, and Hypostasis'

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21 ideas

1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
11103 We aren't stuck with our native conceptual scheme; we can gradually change it [Quine]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10690 Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10696 A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
7. Existence / B. Change in Existence / 2. Processes
11092 A river is a process, with stages; if we consider it as one thing, we are considering a process [Quine]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
11093 We don't say 'red' is abstract, unlike a river, just because it has discontinuous shape [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
11101 General terms don't commit us ontologically, but singular terms with substitution do [Quine]
7. Existence / E. Categories / 5. Category Anti-Realism
11096 Discourse generally departmentalizes itself to some degree [Quine]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
11099 Understanding 'is square' is knowing when to apply it, not knowing some object [Quine]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
11094 'Red' is a single concrete object in space-time; 'red' and 'drop' are parts of a red drop [Quine]
11097 Red is the largest red thing in the universe [Quine]
9. Objects / F. Identity among Objects / 1. Concept of Identity
17595 To unite a sequence of ostensions to make one object, a prior concept of identity is needed [Quine]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
11095 We should just identify any items which are indiscernible within a given discourse [Quine]
18. Thought / D. Concepts / 5. Concepts and Language / b. Concepts are linguistic
11104 Concepts are language [Quine]
18. Thought / E. Abstraction / 1. Abstract Thought
11102 Apply '-ness' or 'class of' to abstract general terms, to get second-level abstract singular terms [Quine]
23. Ethics / F. Existentialism / 5. Existence-Essence
20130 It is absurd to think you can change your own essence, like a garment [Nietzsche]