Combining Texts

All the ideas for 'Logical Consequence', 'Mahaprajnaparamitashastra' and 'The Analysis of Matter'

expand these ideas     |    start again     |     specify just one area for these texts


14 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]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling]
9. Objects / A. Existence of Objects / 1. Physical Objects
A perceived physical object is events grouped around a centre [Russell]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B]