Combining Texts

All the ideas for 'Logical Consequence', 'Spreading the Word' and 'An Essay in Aesthetics'

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20 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]
10. Modality / A. Necessity / 11. Denial of Necessity
Asserting a necessity just expresses our inability to imagine it is false [Blackburn]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Most of us are too close to our own motives to understand them [Fry]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Imaginative life requires no action, so new kinds of perception and values emerge in art [Fry]
Everyone reveals an aesthetic attitude, looking at something which only exists to be seen [Fry]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
'Beauty' can either mean sensuous charm, or the aesthetic approval of art (which may be ugly) [Fry]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
In life we neglect 'cosmic emotion', but it matters, and art brings it to the fore [Fry]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Art needs a mixture of order and variety in its sensations [Fry]
21. Aesthetics / B. Nature of Art / 3. Art as Imitation
If graphic arts only aim at imitation, their works are only trivial ingenious toys [Fry]
Popular opinion favours realism, yet most people never look closely at anything! [Fry]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
When viewing art, rather than flowers, we are aware of purpose, and sympathy with its creator [Fry]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
In the cinema the emotions are weaker, but much clearer than in ordinary life [Fry]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
For pure moralists art must promote right action, and not just be harmless [Fry]