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All the ideas for 'Sources of Knowledge of Mathematics', 'Groundwork of the Metaphysic of Morals' and 'The Possibility of Metaphysics'

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138 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is the mapping of possibilities [Lowe, by Mumford]
Science needs metaphysics to weed out its presuppositions [Lowe, by Hofweber]
1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Only metaphysics can decide whether identity survives through change [Lowe]
Metaphysics tells us what there could be, rather than what there is [Lowe]
Metaphysics goes beyond the empirical, so doesn't need examples [Kant]
2. Reason / A. Nature of Reason / 4. Aims of Reason
The hallmark of rationality is setting itself an end [Kant]
2. Reason / D. Definition / 12. Paraphrase
How can a theory of meaning show the ontological commitments of two paraphrases of one idea? [Lowe]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
Maybe facts are just true propositions [Lowe]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
One-to-one correspondence would need countable, individuable items [Lowe]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a 'number of things', not a 'collection', because nothing actually collects the members [Lowe]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
I don't believe in the empty set, because (lacking members) it lacks identity-conditions [Lowe]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
It is better if the existential quantifier refers to 'something', rather than a 'thing' which needs individuation [Lowe]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Numbers are universals, being sets whose instances are sets of appropriate cardinality [Lowe]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Simple counting is more basic than spotting that one-to-one correlation makes sets equinumerous [Lowe]
Fs and Gs are identical in number if they one-to-one correlate with one another [Lowe]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Sets are instances of numbers (rather than 'collections'); numbers explain sets, not vice versa [Lowe]
If 2 is a particular, then adding particulars to themselves does nothing, and 2+2=2 [Lowe]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Does the existence of numbers matter, in the way space, time and persons do? [Lowe]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Late in life Frege abandoned logicism, and saw the source of arithmetic as geometrical [Frege, by Chihara]
7. Existence / A. Nature of Existence / 1. Nature of Existence
All possible worlds contain abstracta (e.g. numbers), which means they contain concrete objects [Lowe]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Perhaps possession of causal power is the hallmark of existence (and a reason to deny the void) [Lowe]
7. Existence / B. Change in Existence / 1. Nature of Change
Heraclitus says change is new creation, and Spinoza that it is just phases of the one substance [Lowe]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Events are changes or non-changes in properties and relations of persisting objects [Lowe]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
Events are ontologically indispensable for singular causal explanations [Lowe]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Are facts wholly abstract, or can they contain some concrete constituents? [Lowe]
Facts cannot be wholly abstract if they enter into causal relations [Lowe]
The problem with the structured complex view of facts is what binds the constituents [Lowe]
It is whimsical to try to count facts - how many facts did I learn before breakfast? [Lowe]
7. Existence / D. Theories of Reality / 8. Facts / e. Facts rejected
Facts are needed for truth-making and causation, but they seem to lack identity criteria [Lowe]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
Two of the main rivals for the foundations of ontology are substances, and facts or states-of-affairs [Lowe]
Some abstractions exist despite lacking causal powers, because explanation needs them [Lowe]
7. Existence / E. Categories / 1. Categories
Ontological categories are not natural kinds: the latter can only be distinguished using the former [Lowe]
7. Existence / E. Categories / 3. Proposed Categories
The top division of categories is either abstract/concrete, or universal/particular, or necessary/contingent [Lowe]
Lowe divides things into universals and particulars, then kinds and properties, and abstract/concrete [Lowe, by Westerhoff]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Is 'the Thames is broad in London' relational, or adverbial, or segmental? [Lowe]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
I prefer 'modes' to 'tropes', because it emphasises their dependence [Lowe]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
Why cannot a trope float off and join another bundle? [Lowe]
Tropes cannot have clear identity-conditions, so they are not objects [Lowe]
How can tropes depend on objects for their identity, if objects are just bundles of tropes? [Lowe]
Does a ball snug in plaster have one trope, or two which coincide? [Lowe]
8. Modes of Existence / D. Universals / 1. Universals
Sortal terms for universals involve a substance, whereas adjectival terms do not [Lowe]
8. Modes of Existence / D. Universals / 2. Need for Universals
Real universals are needed to explain laws of nature [Lowe]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Particulars are instantiations, and universals are instantiables [Lowe]
9. Objects / A. Existence of Objects / 1. Physical Objects
To be an object at all requires identity-conditions [Lowe]
Our commitment to the existence of objects should depend on their explanatory value [Lowe]
Objects are entities with full identity-conditions, but there are entities other than objects [Lowe]
Perhaps concrete objects are entities which are in space-time and subject to causality [Lowe]
9. Objects / A. Existence of Objects / 3. Objects in Thought
An object is an entity which has identity-conditions [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Some things (such as electrons) can be countable, while lacking proper identity [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
Criteria of identity cannot individuate objects, because they are shared among different types [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Diversity of two tigers is their difference in space-time; difference of matter is a consequence [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Individuation principles identify what kind it is; identity criteria distinguish items of the same kind [Lowe]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
A 'substance' is an object which doesn't depend for existence on other objects [Lowe]
9. Objects / C. Structure of Objects / 5. Composition of an Object
The identity of composite objects isn't fixed by original composition, because how do you identify the origin? [Lowe]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
An object 'endures' if it is always wholly present, and 'perdures' if different parts exist at different times [Lowe]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
How can you identify temporal parts of tomatoes without referring to tomatoes? [Lowe]
9. Objects / F. Identity among Objects / 3. Relative Identity
A clear idea of the kind of an object must precede a criterion of identity for it [Lowe]
9. Objects / F. Identity among Objects / 4. Type Identity
One view is that two objects of the same type are only distinguished by differing in matter [Lowe]
10. Modality / A. Necessity / 3. Types of Necessity
'Conceptual' necessity is narrow logical necessity, true because of concepts and logical laws [Lowe]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is logical necessity 'broadly construed' [Lowe, by Lynch/Glasgow]
10. Modality / A. Necessity / 6. Logical Necessity
Logical necessity can be 'strict' (laws), or 'narrow' (laws and definitions), or 'broad' (all logical worlds) [Lowe]
10. Modality / B. Possibility / 1. Possibility
The metaphysically possible is what acceptable principles and categories will permit [Lowe]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Does every abstract possible world exist in every possible world? [Lowe]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
While space may just be appearance, time and change can't be, because the appearances change [Lowe]
12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
The categorical imperative is a practical synthetic a priori proposition [Kant]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / a. Qualities in perception
Properties or qualities are essentially adjectival, not objectual [Lowe]
16. Persons / F. Free Will / 1. Nature of Free Will
Free will is a kind of causality which works independently of other causes [Kant]
16. Persons / F. Free Will / 2. Sources of Free Will
We shall never be able to comprehend how freedom is possible [Kant]
16. Persons / F. Free Will / 4. For Free Will
We cannot conceive of reason as being externally controlled [Kant]
16. Persons / F. Free Will / 5. Against Free Will
Kant made the political will into a pure self-determined "free" will [Kant, by Marx/Engels]
17. Mind and Body / A. Mind-Body Dualism / 1. Dualism
The idea that Cartesian souls are made of some ghostly 'immaterial' stuff is quite unwarranted [Lowe]
18. Thought / A. Modes of Thought / 3. Emotions / c. Role of emotions
Kant thought emotions are too random and passive to be part of morality [Kant, by Williams,B]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstractions are non-spatial, or dependent, or derived from concepts [Lowe]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
You can think of a direction without a line, but a direction existing with no lines is inconceivable [Lowe]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Kant united religion and philosophy, by basing obedience to law on reason instead of faith [Taylor,R on Kant]
The categorical imperative says nothing about what our activities and ends should be [MacIntyre on Kant]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Kant thought human nature was pure hedonism, so virtue is only possible via the categorical imperative [Foot on Kant]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
We must only value what others find acceptable [Kant, by Korsgaard]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Kant focuses exclusively on human values, and neglects cultural and personal values [Kekes on Kant]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Our rational choices confer value, arising from the sense that we ourselves are important [Kant, by Korsgaard]
Values are created by human choices, and are not some intrinsic quality, out there [Kant, by Berlin]
22. Metaethics / B. Value / 2. Values / f. Altruism
We may claim noble motives, but we cannot penetrate our secret impulses [Kant]
Reverence is awareness of a value which demolishes my self-love [Kant]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
A good will is not good because of what it achieves [Kant]
The good of an action is in the mind of the doer, not the consequences [Kant]
23. Ethics / B. Contract Ethics / 2. Golden Rule
The 'golden rule' cannot be a universal law as it implies no duties [Kant]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Virtue lets a rational being make universal law, and share in the kingdom of ends [Kant]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Kant thinks virtue becomes passive, and hence morally unaccountable [Kant, by Annas]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Generosity and pity are vices, because they falsely imply one person's superiority to another [Kant, by Berlin]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Kantian respect is for humanity and reason (not from love or sympathy or solidarity) [Kant, by Sandel]
23. Ethics / D. Deontological Ethics / 1. Deontology
If 'maxims' are deeper underlying intentions, Kant can be read as a virtue theorist [Kant, by Statman]
We can ask how rational goodness is, but also why is rationality good [Putnam on Kant]
Other causes can produce nice results, so morality must consist in the law, found only in rational beings [Kant]
It is basic that moral actions must be done from duty [Kant]
Kant follows Rousseau in defining freedom and morality in terms of each other [Taylor,C on Kant]
The only purely good thing is a good will [Kant]
The will is good if its universalised maxim is never in conflict with itself [Kant]
23. Ethics / D. Deontological Ethics / 2. Duty
Telling the truth from duty is quite different from doing so to avoid inconvenience [Kant]
There are no imperatives for a holy will, as the will is in harmony with moral law [Kant]
Men are subject to laws which are both self-made and universal [Kant]
Dutiful actions are judged not by purpose, but by the maxim followed [Kant]
Kant was happy with 'good will', even if it had no result [Kant, by Marx/Engels]
Kant has to attribute high moral worth to some deeply unattractive human lives [Kant, by Graham]
Kantian duty seems to imply conformism with authority [MacIntyre on Kant]
A categorical imperative sees an action as necessary purely for its own sake [Kant]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Almost any precept can be consistently universalized [MacIntyre on Kant]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The intuition behind the categorical imperative is that one ought not to make an exception of oneself [Kant, by Finlayson]
Universalising a maxim needs to first stipulate the right description for the action [Anscombe on Kant]
The categorical imperative will not suggest maxims suitable for testing [MacIntyre on Kant]
I can universalize a selfish maxim, if it is expressed in a way that only applies to me [MacIntyre on Kant]
Suicide, false promises, neglected talent, and lack of charity all involve contradictions of principle [Kant, by PG]
Always treat yourself and others as an end, and never simply as a means [Kant]
If lying were the universal law it would make promises impossible [Kant]
Why couldn't all rational beings accept outrageously immoral rules of conduct? [Mill on Kant]
Morality is the creation of the laws that enable a Kingdom of Ends [Kant]
The categorical imperative smells of cruelty [Nietzsche on Kant]
Act according to a maxim you can will as a universal law [Kant]
Act as if your maxim were to become a universal law of nature [Kant]
23. Ethics / D. Deontological Ethics / 5. Persons as Ends
The maxim of an action is chosen, and not externally imposed [Kant, by Bowie]
Always treat humanity as an end and never as a means only [Kant]
Rational beings necessarily conceive their own existence as an end in itself [Kant]
23. Ethics / D. Deontological Ethics / 6. Motivation for Duty
For Kant, even a person who lacks all sympathy for others still has a motive for benevolence [Kant, by Hursthouse]
If we are required to give moral thought the highest priority, this gives morality no content [Williams,B on Kant]
If Kant lives by self-administered laws, this is as feeble as self-administered punishments [Kierkegaard on Kant]
Only a good will makes us worthy of happiness [Kant]
The function of reason is to produce a good will [Kant]
Our inclinations are not innately desirable; in fact most rational beings would like to be rid of them [Kant]
Actions where people spread happiness because they enjoy it have no genuine moral worth [Kant]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
Rational beings have a right to share in the end of an action, not just be part of the means [Kant]
25. Social Practice / A. Freedoms / 4. Free market
Kant is the father of the notion of exploitation as an evil [Kant, by Berlin]
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Kant completed Grotius's project of a non-religious basis for natural law [Scruton on Kant]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Retributive punishment is better than being sent to hospital for your crimes [Kant, by Berlin]
25. Social Practice / F. Life Issues / 6. Animal Rights
Non-rational beings only have a relative value, as means rather than as ends [Kant]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
To cite facts as the elements in causation is to confuse states of affairs with states of objects [Lowe]
27. Natural Reality / C. Space / 3. Points in Space
Points are limits of parts of space, so parts of space cannot be aggregates of them [Lowe]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
We judge God to be good by a priori standards of moral perfection [Kant]
We can only know we should obey God if we already have moral standards for judging God [Kant, by MacIntyre]
28. God / B. Proving God / 2. Proofs of Reason / c. Moral Argument
God is not proved by reason, but is a postulate of moral thinking [Kant, by Davies,B]