Combining Texts

All the ideas for 'Logical Consequence', 'Essays on Intellectual Powers 3: Memory' and 'Treatise of Human Nature, Appendix'

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35 ideas

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 / 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]
9. Objects / E. Objects over Time / 1. Objects over Time
Continuity is needed for existence, otherwise we would say a thing existed after it ceased to exist [Reid]
9. Objects / E. Objects over Time / 13. No Identity over Time
We treat slowly changing things as identical for the sake of economy in language [Reid]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Identity is familiar to common sense, but very hard to define [Reid]
Identity can only be affirmed of things which have a continued existence [Reid]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
Belief is a feeling, independent of the will, which arises from uncontrolled and unknown causes [Hume]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
A proposition cannot be intelligible or consistent, if the perceptions are not so [Hume]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Without memory we could have no concept of duration [Reid]
We all trust our distinct memories (but not our distinct imaginings) [Reid]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
A person is a unity, and doesn't come in degrees [Reid]
15. Nature of Minds / C. Capacities of Minds / 7. Seeing Resemblance
Hume needs a notion which includes degrees of resemblance [Shoemaker on Hume]
16. Persons / A. Concept of a Person / 2. Persons as Responsible
Personal identity is the basis of all rights, obligations and responsibility [Reid]
16. Persons / A. Concept of a Person / 3. Persons as Reasoners
I can hardly care about rational consequence if it wasn't me conceiving the antecedent [Reid]
16. Persons / B. Nature of the Self / 5. Self as Associations
Experiences are logically separate, but factually linked by simultaneity or a feeling of continuousness [Ayer on Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
The identity of a thief is only known by similarity, but memory gives certainty in our own case [Reid]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
Are self and substance the same? Then how can self remain if substance changes? [Hume]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / c. Inadequacy of mental continuity
Perceptions are distinct, so no connection between them can ever be discovered [Hume]
Memory reveals my past identity - but so does testimony of other witnesses [Reid]
If consciousness is transferable 20 persons can be 1; forgetting implies 1 can be 20 [Reid]
Boy same as young man, young man same as old man, old man not boy, if forgotten! [Reid]
If a stolen horse is identified by similitude, its identity is not therefore merely similitude [Reid]
If consciousness is personal identity, it is continually changing [Reid]
16. Persons / D. Continuity of the Self / 7. Self and Thinking
Thoughts change continually, but the self doesn't [Reid]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
We have no impression of the self, and we therefore have no idea of it [Hume]
Does an oyster with one perception have a self? Would lots of perceptions change that? [Hume]
22. Metaethics / B. Value / 2. Values / g. Love
We have no natural love of mankind, other than through various relationships [Hume]
26. Natural Theory / C. Causation / 9. General Causation / a. Constant conjunction
Causation is just invariance, as long as it is described in general terms [Quine on Hume]
If impressions, memories and ideas only differ in vivacity, nothing says it is memory, or repetition [Whitehead on Hume]