Argument
Relation (mathematics)
In the original texts
Passages from public-domain books where Relation (mathematics) is discussed.
The word RELATION is commonly used in two senses considerably different from each other. Either for that quality, by which two ideas are connected together in the imagination, and the one naturally introduces the other, after the manner above-explained: or for that particular circumstance, in which, even…
David Hume, A Treatise of Human Nature
names the idea; a chapter is titled for it; states what it is; opens on it
For, as I said, relation is a way of comparing or considering two things [*dropped line] from that comparison; and sometimes giving even the relation itself a name. 8. Our Ideas of Relations often clearer than of the Subjects related.
John Locke, An Essay Concerning Humane Understanding, Volume 1
names the idea; a chapter is titled for it; states what it is; opens on it
Relations are of different degrees of intimacy. Merely to be 'with' one another in a universe of discourse is the most external relation that terms can have, and seems to involve nothing whatever as to farther consequences.
William James, Essays in Radical Empiricism
names the idea; a chapter is titled for it; opens on it
Even if they have nothing in common but what is common to all things, that they are members of the universe, we call that a relation, and denominate them fellow-creatures, fellow-beings, or fellow-denizens of the universe. But in proportion as the fact into which the two objects enter as parts is of a more special and peculiar, or of a more complicated nature, so also is the relation grounded upon it. And there are…
John Stuart Mill, A System of Logic
names the idea; a chapter is titled for it; opens on it
2. _Identity_ may be esteemed a second species of relation. This relation I here consider as applied in its strictest sense to constant and unchangeable objects; without examining the nature and foundation of personal identity, which shall find its place afterwards. Of all relations the most universal is that of identity, being common to every being, whose existence has any duration. 3. After identity the most…
David Hume, Philosophical Works, v. 1
names the idea; a chapter is titled for it; opens on it
Related ideas
- Infinite set
- Internet Archive
- Function (mathematics)
- Mathematics
- Mathematical object
- Rational number
- Reflexive relation
- Real number
- Natural number
- Ordered pair
- Intersection (set theory)
- Partially ordered set
- Set (mathematics)
- Subset
- Total order
- Bijection
- C. I. Lewis
- Union (set theory)
- Complement (set theory)
- Algebraic logic
- Equivalence relation
- Finitary relation
- Transitive closure
- Alphabetical order
Place in the tradition
Part of Logical atomism.