Combining Texts

All the ideas for 'On Liberty', 'Substance and Individuation in Leibniz' and 'Plurals and Complexes'

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58 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]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Scholastics treat relations as two separate predicates of the relata [Cover/O'Leary-Hawthorne]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
If you individuate things by their origin, you still have to individuate the origins themselves [Cover/O'Leary-Hawthorne]
Numerical difference is a symmetrical notion, unlike proper individuation [Cover/O'Leary-Hawthorne]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
Haecceity as property, or as colourless thisness, or as singleton set [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Maybe 'substance' is more of a mass-noun than a count-noun [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
We can ask for the nature of substance, about type of substance, and about individual substances [Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
The general assumption is that substances cannot possibly be non-substances [Cover/O'Leary-Hawthorne]
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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / a. Essence as necessary properties
Modern essences are sets of essential predicate-functions [Cover/O'Leary-Hawthorne]
Modern essentialists express essence as functions from worlds to extensions for predicates [Cover/O'Leary-Hawthorne]
9. Objects / E. Objects over Time / 12. Origin as Essential
Necessity-of-origin won't distinguish ex nihilo creations, or things sharing an origin [Cover/O'Leary-Hawthorne]
10. Modality / E. Possible worlds / 3. Transworld Objects / a. Transworld identity
Even extreme modal realists might allow transworld identity for abstract objects [Cover/O'Leary-Hawthorne]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
We can go beyond mere causal explanations if we believe in an 'order of being' [Cover/O'Leary-Hawthorne]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
It is a crime for someone with a violent disposition to get drunk [Mill]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Ethics rests on utility, which is the permanent progressive interests of people [Mill]
24. Political Theory / A. Basis of a State / 3. Natural Values / a. Natural freedom
Individuals have sovereignty over their own bodies and minds [Mill]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
The will of the people is that of the largest or most active part of the people [Mill]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
It is evil to give a government any more power than is necessary [Mill]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
Individuals often do things better than governments [Mill]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Aim for the maximum dissemination of power consistent with efficiency [Mill]
24. Political Theory / D. Ideologies / 4. Social Utilitarianism
Maximise happiness by an area of strict privacy, and an area of utilitarian interventions [Mill, by Wolff,J]
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
People who transact their own business will also have the initiative to control their government [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Prevention of harm to others is the only justification for exercising power over people [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The worth of a State, in the long run, is the worth of the individuals composing it [Mill]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
The main argument for freedom is that interference with it is usually misguided [Mill]
25. Social Practice / A. Freedoms / 3. Free speech
Liberty arises at the point where people can freely and equally discuss things [Mill]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Utilitarianism values liberty, but guides us on which ones we should have or not have [Mill, by Wolff,J]
Mill defends freedom as increasing happiness, but maybe it is an intrinsic good [Wolff,J on Mill]
True freedom is pursuing our own good, while not impeding others [Mill]
Individuals are not accountable for actions which only concern themselves [Mill]
Blocking entry to an unsafe bridge does not infringe liberty, since no one wants unsafe bridges [Mill]
Pimping and running a gambling-house are on the border between toleration and restraint [Mill]
Restraint for its own sake is an evil [Mill]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Society can punish actions which it believes to be prejudicial to others [Mill]
25. Social Practice / E. Policies / 3. Welfare provision
Benefits performed by individuals, not by government, help also to educate them [Mill]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
We need individual opinions and conduct, and State education is a means to prevent that [Mill]
25. Social Practice / F. Life Issues / 3. Abortion
It is a crime to create a being who lacks the ordinary chances of a desirable existence [Mill]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The ethics of the Gospel has been supplemented by barbarous Old Testament values [Mill]