Combining Texts

All the ideas for 'Plato on Parts and Wholes', 'Building Blocks of Mathematical Logic' and 'An Inquiry into Meaning and Truth'

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23 ideas

2. Reason / F. Fallacies / 7. Ad Hominem
An ad hominem refutation is reasonable, if it uses the opponent's assumptions [Harte,V]
3. Truth / A. Truth Problems / 7. Falsehood
Asserting not-p is saying p is false [Russell]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / e. Existential quantifier ∃
There are four experiences that lead us to talk of 'some' things [Russell]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology began as a nominalist revolt against the commitments of set theory [Harte,V]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
The physical world doesn't need logic, but the mental world does [Russell]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Questions wouldn't lead anywhere without the law of excluded middle [Russell]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
A disjunction expresses indecision [Russell]
'Or' expresses hesitation, in a dog at a crossroads, or birds risking grabbing crumbs [Russell]
'Or' expresses a mental state, not something about the world [Russell]
Maybe the 'or' used to describe mental states is not the 'or' of logic [Russell]
Disjunction may also arise in practice if there is imperfect memory. [Russell]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Variables are auxiliary notions, and not part of the 'eternal' essence of logic [Schönfinkel]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / c. Grelling's paradox
A 'heterological' predicate can't be predicated of itself; so is 'heterological' heterological? Yes=no! [Russell]
7. Existence / B. Change in Existence / 1. Nature of Change
Traditionally, the four elements are just what persists through change [Harte,V]
9. Objects / C. Structure of Objects / 6. Constitution of an Object
Mereology treats constitution as a criterion of identity, as shown in the axiom of extensionality [Harte,V]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
The problem with the term 'sum' is that it is singular [Harte,V]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
All our knowledge (if verbal) is general, because all sentences contain general words [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / a. Naïve realism
Naïve realism leads to physics, but physics then shows that naïve realism is false [Russell]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
For simple words, a single experience can show that they are true [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Perception can't prove universal generalisations, so abandon them, or abandon empiricism? [Russell]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
A mother cat is paralysed if equidistant between two needy kittens [Russell]