Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'Art' and 'Believing the Axioms I'

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


31 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the most general attempt to make sense of things [Moore,AW]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
The Axiom of Extensionality seems to be analytic [Maddy]
Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Good art produces exaltation and detachment [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The word 'beauty' leads to confusion, because it denotes distinct emotions [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Our feeling for natural beauty is different from the aesthetic emotion of art [Bell,C]
We only see landscapes as artistic if we ignore their instrumental value [Bell,C]
21. Aesthetics / A. Aesthetic Experience / 6. The Sublime
Visual form can create a sublime mental state [Bell,C]
21. Aesthetics / B. Nature of Art / 1. Defining Art
Art is the expression of an emotion for ultimate reality [Bell,C]
Aestheticism invites artist to create beauty, but with no indication of how to do it [Bell,C]
21. Aesthetics / B. Nature of Art / 2. Art as Form
Only artists can discern significant form; other people must look to art to find it [Bell,C, by Gardner]
Maybe significant form gives us a feeling for ultimate reality [Bell,C]
Significant form is the essence of art, which I believe expresses an emotion about reality [Bell,C]
'Form' is visual relations, and it is 'significant' if it moves us aesthetically; art needs both [Bell,C, by Feagin]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
The only expression art could have is the emotion resulting from pure form [Bell,C]
21. Aesthetics / C. Artistic Issues / 2. Copies of Art
Mere copies of pictures are not significant - unless the copies are very exact [Bell,C]
21. Aesthetics / C. Artistic Issues / 4. Emotion in Art
Art is distinguished by its aesthetic emotion, which produces appropriate form [Bell,C]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Aesthetic contemplation is the best and most intense mental state [Bell,C]
Aesthetic experience is an exaltation which increases the possibilities of life [Bell,C]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Only artistic qualities matter in art, because they also have the highest moral value [Bell,C]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion sees infinite value in some things, and irrelevance in the rest [Bell,C]