Orders in Mathematical Logic
- Lindenbaum algebra
- Zorn's lemma
- Hausdorff maximality theorem
- Boolean prime ideal theorem
- Ultrafilter
- Ultrafilter lemma
- Tree (set theory)
- Tree (descriptive set theory)
- Suslin's problem
- Absorption law
- Canonical order
- Prewellordering
Read more about this topic: List Of Order Theory Topics
Famous quotes containing the words orders, mathematical and/or logic:
“There is nothing on earth more exquisite than a bonny book, with well-placed columns of rich black writing in beautiful borders, and illuminated pictures cunningly inset. But nowadays, instead of looking at books, people read them. A book might as well be one of those orders for bacon and bran.”
—George Bernard Shaw (1856–1950)
“As we speak of poetical beauty, so ought we to speak of mathematical beauty and medical beauty. But we do not do so; and that reason is that we know well what is the object of mathematics, and that it consists in proofs, and what is the object of medicine, and that it consists in healing. But we do not know in what grace consists, which is the object of poetry.”
—Blaise Pascal (1623–1662)
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)