Combining Texts

All the ideas for 'Two Problems of Epistemology', 'The Human Condition' and 'Plurals and Complexes'

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49 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
10. Modality / B. Possibility / 7. Chance
'Luck' is the unpredictable and inexplicable intersection of causal chains [Kekes]
14. Science / A. Basis of Science / 6. Falsification
Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
20. Action / B. Preliminaries of Action / 1. Intention to Act / a. Nature of intentions
An action may be intended under one description, but not under another [Kekes]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
To control our actions better, make them result from our attitudes, not from circumstances [Kekes]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
Values are an attempt to achieve well-being by bringing contingencies under control [Kekes]
Values help us to control life, by connecting it to what is stable and manageable [Kekes]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Responsibility is unprovoked foreseeable harm, against society, arising from vicious character [Kekes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Reason and morality do not coincide; immorality can be reasonable, with an ideology [Kekes]
Practical reason is not universal and impersonal, because it depends on what success is [Kekes]
If morality has to be rational, then moral conflicts need us to be irrational and immoral [Kekes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Relativists say all values are relative; pluralists concede much of that, but not 'human' values [Kekes]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
We are bound to regret some values we never aspired to [Kekes]
There are far more values than we can pursue, so they are optional possibilities [Kekes]
Innumerable values arise for us, from our humanity, our culture, and our individuality [Kekes]
Cultural values are interpretations of humanity, conduct, institutions, and evaluations [Kekes]
The big value problems are evil (humanity), disenchantment (cultures), and boredom (individuals) [Kekes]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
Our attitudes include what possibilities we value, and also what is allowable, and unthinkable [Kekes]
Unconditional commitments are our most basic convictions, saying what must never be done [Kekes]
Doing the unthinkable damages ourselves, so it is more basic than any value [Kekes]
22. Metaethics / B. Value / 2. Values / j. Evil
Evil isn't explained by nature, by monsters, by uncharacteristic actions, or by society [Kekes]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Control is the key to well-being [Kekes]
Well-being needs correct attitudes and well-ordered commitments to local values [Kekes]
23. Ethics / F. Existentialism / 4. Boredom
Boredom destroys our ability to evaluate [Kekes]
Boredom is apathy and restlessness, yearning for something interesting [Kekes]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Society is alienating if it lacks our values, and its values repel us [Kekes]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The ideal of an ideology is embodied in a text, a role model, a law of history, a dream of the past... [Kekes]
Ideologies have beliefs about reality, ideals, a gap with actuality, and a program [Kekes]
25. Social Practice / B. Equalities / 4. Economic equality
Equal distribution is no good in a shortage, because there might be no one satisfied [Kekes]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]