Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'First-Order Logic' and 'Art and Its Objects'

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25 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
10282 Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
10283 A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W]
10284 There are three different standard presentations of semantics [Hodges,W]
10285 I |= φ means that the formula φ is true in the interpretation I [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10288 Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W]
10289 Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W]
5. Theory of Logic / K. Features of Logics / 6. Compactness
10287 If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10286 A 'set' is a mathematically well-behaved class [Hodges,W]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
20339 Classes rarely share properties with their members - unlike universals and types [Wollheim]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
20338 We often treat a type as if it were a sort of token [Wollheim]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
20342 Interpretation is performance for some arts, and critical for all arts [Wollheim]
20343 A love of nature must precede a love of art [Wollheim]
21. Aesthetics / B. Nature of Art / 1. Defining Art
20348 A criterion of identity for works of art would be easier than a definition [Wollheim]
21. Aesthetics / B. Nature of Art / 2. Art as Form
20347 If beauty needs organisation, then totally simple things can't be beautiful [Wollheim]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
20345 Some say art must have verbalisable expression, and others say the opposite! [Wollheim]
20331 It is claimed that the expressive properties of artworks are non-physical [Wollheim]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
20336 Style can't be seen directly within a work, but appreciation needs a grasp of style [Wollheim]
20337 The traditional view is that knowledge of its genre to essential to appreciating literature [Wollheim]
21. Aesthetics / B. Nature of Art / 7. Ontology of Art
20333 If artworks are not physical objects, they are either ideal entities, or collections of phenomena [Wollheim]
20334 The ideal theory says art is an intuition, shaped by a particular process, and presented in public [Wollheim]
20335 The ideal theory of art neglects both the audience and the medium employed [Wollheim]
20340 A musical performance has virtually the same features as the piece of music [Wollheim]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
20341 An interpretation adds further properties to the generic piece of music [Wollheim]
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
20332 A drawing only represents Napoleon if the artist intended it to [Wollheim]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]