Combining Texts

All the ideas for 'Logical Consequence', 'External and Internal Relations' and 'Meinong on Complexes and Assumptions'

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22 ideas

3. Truth / B. Truthmakers / 6. Making Negative Truths
It seems that when a proposition is false, something must fail to subsist [Russell]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
'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
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
Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle can be stated psychologically, as denial of p implies assertion of not-p [Russell]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
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
Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
7. Existence / D. Theories of Reality / 2. Realism
If two people perceive the same object, the object of perception can't be in the mind [Russell]
8. Modes of Existence / A. Relations / 1. Nature of Relations
The only thing we can say about relations is that they relate [Russell]
Relational propositions seem to be 'about' their terms, rather than about the relation [Russell]
8. Modes of Existence / A. Relations / 2. Internal Relations
A relation is internal if two things possessing the relation could not fail to be related [Moore,GE, by Heil]
9. Objects / A. Existence of Objects / 3. Objects in Thought
When I perceive a melody, I do not perceive the notes as existing [Russell]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Objects only exist if they 'occupy' space and time [Russell]
10. Modality / B. Possibility / 5. Contingency
Contingency arises from tensed verbs changing the propositions to which they refer [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
I assume we perceive the actual objects, and not their 'presentations' [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Full empiricism is not tenable, but empirical investigation is always essential [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
Do incorrect judgements have non-existent, or mental, or external objects? [Russell]
18. Thought / C. Content / 1. Content
The complexity of the content correlates with the complexity of the object [Russell]
19. Language / D. Propositions / 1. Propositions
If p is false, then believing not-p is knowing a truth, so negative propositions must exist [Russell]