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All the ideas for 'Frege philosophy of mathematics', 'Against Liberalism' and 'Commentary on 'Physics''

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67 ideas

2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / E. Objects over Time / 6. Successive Things
Days exist, and yet they seem to be made up of parts which don't exist [Burley]
Unlike permanent things, successive things cannot exist all at once [Burley]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuitions don't prove things; they just receptivity to interpretations [Kekes]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Liberals say we are only responsible for fully autonomous actions [Kekes]
Collective responsibility conflicts with responsibility's requirement of authonomy [Kekes]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Much human evil is not autonomous, so moral responsibility need not be autonomous [Kekes]
Evil people may not be autonomously aware, if they misjudge the situation [Kekes]
Moral and causal responsibility are not clearly distinct [Kekes]
Effects show the existence of moral responsibility, and mental states show the degree [Kekes]
Why should moral responsibility depend on autonomy, rather than social role or experience? [Kekes]
Ought implies can means moral responsibility needs autonomy [Kekes]
Morality should aim to prevent all evil actions, not just autonomous ones [Kekes]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Liberals assume people are naturally free, equal, rational, and morally good [Kekes]
22. Metaethics / B. Value / 2. Values / g. Love
Love should be partial, and discriminate in favour of its object [Kekes]
Sentimental love distorts its object [Kekes]
22. Metaethics / B. Value / 2. Values / j. Evil
Evil is not deviation from the good, any more than good is a deviation from evil [Kekes]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
What matters for morality is the effects of action, not the psychological causes [Kekes]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
It is said that if an agent is not autonomous then their evil actions don't reflect on their character [Kekes]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Awareness of others' suffering doesn't create an obligation to help [Kekes]
24. Political Theory / A. Basis of a State / 4. Original Position / b. Veil of ignorance
The veil of ignorance is only needed because people have bad motivations [Kekes]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The chief function of the state is to arbitrate between contending visions of the good life [Kekes]
24. Political Theory / B. Nature of a State / 4. Citizenship
Citizenship is easier than parenthood [Kekes]
24. Political Theory / C. Ruling a State / 1. Social Power
Power is meant to be confined to representatives, and subsequent delegation [Kekes]
24. Political Theory / D. Ideologies / 3. Conservatism
Prosperity is a higher social virtue than justice [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal basics are pluralism, freedom, rights, equality, and distributive justice - for autonomy [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
The key liberal values are explained by the one core value, which is autonomy [Kekes]
Agents have little control over the capacities needed for liberal autonomy [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / c. Liberal equality
Liberals are egalitarians, but in varying degrees [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Are egalitarians too coercive, or not egalitarian enough, or lax over morality? [Kekes]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberal distribution cares more about recipients than donors [Kekes]
Liberal justice ignores desert, which is the essence of justice [Kekes]
Why do liberals not see a much wider range of values as basic? [Kekes]
Liberals ignore contingency, and think people are good and equal, and institutions cause evil [Kekes]
25. Social Practice / B. Equalities / 1. Grounds of equality
To rectify the undeserved equality, we should give men longer and women shorter lives [Kekes]
It is just a fact that some people are morally better than others [Kekes]
25. Social Practice / B. Equalities / 4. Economic equality
It is not deplorable that billionaires have more than millionaires [Kekes]
The problem is basic insufficiency of resources, not their inequality [Kekes]
25. Social Practice / D. Justice / 1. Basis of justice
Justice combines consistency and desert; treat likes alike, judging likeness by desert [Kekes]
25. Social Practice / E. Policies / 3. Welfare provision
Liberal welfare focuses on need rather than desert [Kekes]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Sexual morality doesn't require monogamy, but it needs a group of sensible regulations [Kekes]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]