Combining Texts

All the ideas for 'Realism in Mathematics', 'Letters to Burcher De Volder' and 'Ethics and the Limits of Philosophy'

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55 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
Monads are not extended, but have a kind of situation in extension [Leibniz]
Only monads are substances, and bodies are collections of them [Leibniz]
7. Existence / D. Theories of Reality / 2. Realism
The division of nature into matter makes distinct appearances, and that presupposes substances [Leibniz]
The only indications of reality are agreement among phenomena, and their agreement with necessities [Leibniz]
In the realist view, the real external world explains how it (and perceptions of it) are possible [Williams,B]
7. Existence / D. Theories of Reality / 3. Reality
Only unities have any reality [Leibniz]
7. Existence / D. Theories of Reality / 10. Vagueness / b. Vagueness of reality
In actual things nothing is indefinite [Leibniz]
8. Modes of Existence / A. Relations / 1. Nature of Relations
A man's distant wife dying is a real change in him [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
A complete monad is a substance with primitive active and passive power [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Derivate forces are in phenomena, but primitive forces are in the internal strivings of substances [Leibniz]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
Thought terminates in force, rather than extension [Leibniz]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
The law of the series, which determines future states of a substance, is what individuates it [Leibniz]
9. Objects / E. Objects over Time / 1. Objects over Time
Changeable accidents are modifications of unchanging essences [Leibniz]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Things in different locations are different because they 'express' those locations [Leibniz]
In nature there aren't even two identical straight lines, so no two bodies are alike [Leibniz]
If two bodies only seem to differ in their position, those different environments will matter [Leibniz]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
Scientific truths are supported by mutual agreement, as well as agreement with the phenomena [Leibniz]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
It is very confused to deduce a nonrelativist morality of universal toleration from relativism [Williams,B]
Our ability to react to an alien culture shows that ethical thought extends beyond cultural boundaries [Williams,B]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Primitive forces are internal strivings of substances, acting according to their internal laws [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
Soul represents body, but soul remains unchanged, while body continuously changes [Leibniz]
18. Thought / D. Concepts / 3. Ontology of Concepts / a. Concepts as representations
Our notions may be formed from concepts, but concepts are formed from things [Leibniz]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Universals are just abstractions by concealing some of the circumstances [Leibniz]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
Philosophers try to produce ethical theories because they falsely assume that ethics can be simple [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Intuitionism has been demolished by critics, and no longer looks interesting [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
The category of person is a weak basis for ethics, because it is not fixed but comes in degrees [Williams,B]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
The weakness of prescriptivism is shown by "I simply don't like staying at good hotels" [Williams,B]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Some ethical ideas, such as 'treachery' and 'promise', seem to express a union of facts and values [Williams,B]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
It is an error of consequentialism to think we just aim at certain states of affairs; we also want to act [Williams,B]
23. Ethics / B. Contract Ethics / 3. Promise Keeping
Promise keeping increases reliability, by making deliberation focus on something which would be overlooked [Williams,B]
23. Ethics / B. Contract Ethics / 5. Free Rider
A weakness of contractual theories is the position of a person of superior ability and power [Williams,B]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A crucial feature of moral thought is second-order desire - the desire to have certain desires [Williams,B]
23. Ethics / D. Deontological Ethics / 1. Deontology
'Deon' in Greek means what one must do; there was no word meaning 'duty' [Williams,B]
23. Ethics / D. Deontological Ethics / 2. Duty
The concept of a 'duty to myself' is fraudulent [Williams,B]
Obligation and duty look backwards (because of a promise or job), although the acts are in the future [Williams,B]
"Ought implies can" is a famous formula in connection with moral obligation [Williams,B]
Not all moral deliberations lead to obligations; some merely reveal what 'may' be done [Williams,B]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Why should I think of myself as both the legislator and the citizen who follows the laws? [Williams,B]
If the self becomes completely impartial, it no longer has enough identity to worry about its interests [Williams,B]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
Utilitarian benevolence involves no particular attachments, and is immune to the inverse square law [Williams,B]
23. Ethics / F. Existentialism / 7. Existential Action
Ethical conviction must be to some extent passive, and can't just depend on the will and decisions [Williams,B]
Taking responsibility won't cure ethical uncertainty by; we are uncertain what to decide [Williams,B]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
It is a mark of our having ethical values that we aim to reproduce them in our children [Williams,B]
25. Social Practice / F. Life Issues / 3. Abortion
Most women see an early miscarriage and a late stillbirth as being very different in character [Williams,B]
25. Social Practice / F. Life Issues / 6. Animal Rights
Speciesism isn't like racism, because the former implies a viewpoint which belongs to no one [Williams,B]
26. Natural Theory / A. Speculations on Nature / 7. Later Matter Theories / c. Matter as extension
Even if extension is impenetrable, this still offers no explanation for motion and its laws [Leibniz]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
An entelechy is a law of the series of its event within some entity [Leibniz]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
The only permanence in things, constituting their substance, is a law of continuity [Leibniz]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
The force behind motion is like a soul, with its own laws of continual change [Leibniz]
27. Natural Reality / C. Space / 2. Space
Space is the order of coexisting possibles [Leibniz]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time is the order of inconsistent possibilities [Leibniz]