Combining Texts

All the ideas for 'works', 'Intro to Non-Classical Logic (1st ed)' and 'Letters to Bouvet'

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34 ideas

2. Reason / A. Nature of Reason / 7. Status of Reason
Foucault originally felt that liberating reason had become an instrument of domination [Foucault, by Gutting]
4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
Free logic is one of the few first-order non-classical logics [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / a. Symbols of ST
X1 x X2 x X3... x Xn indicates the 'cartesian product' of those sets [Priest,G]
<a,b&62; is a set whose members occur in the order shown [Priest,G]
{x; A(x)} is a set of objects satisfying the condition A(x) [Priest,G]
{a1, a2, ...an} indicates that a set comprising just those objects [Priest,G]
a ∈ X says a is an object in set X; a ∉ X says a is not in X [Priest,G]
Φ indicates the empty set, which has no members [Priest,G]
{a} is the 'singleton' set of a (not the object a itself) [Priest,G]
X⊆Y means set X is a 'subset' of set Y [Priest,G]
X⊂Y means set X is a 'proper subset' of set Y [Priest,G]
X = Y means the set X equals the set Y [Priest,G]
X ∩ Y indicates the 'intersection' of sets X and Y, the objects which are in both sets [Priest,G]
Y - X is the 'relative complement' of X with respect to Y; the things in Y that are not in X [Priest,G]
X∪Y indicates the 'union' of all the things in sets X and Y [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
The 'union' of two sets is a set containing all the things in either of the sets [Priest,G]
The 'intersection' of two sets is a set of the things that are in both sets [Priest,G]
The 'relative complement' is things in the second set not in the first [Priest,G]
The 'induction clause' says complex formulas retain the properties of their basic formulas [Priest,G]
A 'cartesian product' of sets is the set of all the n-tuples with one member in each of the sets [Priest,G]
A 'set' is a collection of objects [Priest,G]
A 'member' of a set is one of the objects in the set [Priest,G]
An 'ordered pair' (or ordered n-tuple) is a set with its members in a particular order [Priest,G]
A 'singleton' is a set with only one member [Priest,G]
The 'empty set' or 'null set' has no members [Priest,G]
A set is a 'subset' of another set if all of its members are in that set [Priest,G]
A 'proper subset' is smaller than the containing set [Priest,G]
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / c. Basic theorems of ST
The empty set Φ is a subset of every set (including itself) [Priest,G]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Foucault challenges knowledge in psychology and sociology, not in the basic sciences [Foucault, by Gutting]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Unlike Marxists, Foucault explains thought internally, without deference to conscious ideas [Foucault, by Gutting]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
The author function of any text is a plurality of selves [Foucault, by Gutting]
23. Ethics / D. Deontological Ethics / 1. Deontology
We want good education and sociability, rather than lots of moral precepts [Leibniz]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Nature is not the basis of rights, but the willingness to risk death in asserting them [Foucault]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
Power is used to create identities and ways of life for other people [Foucault, by Shorten]