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Ontology is the philosophical study of being. As one of the most fundamental concepts, being encompasses all of reality and every entity within it. To articulate the basic structure of being, ontology examines what all entities have in common and how they are divided into fundamental classes, known as categories.
- Ontology (Information Science)
In information science, an ontology encompasses a...
- Becoming
Process philosophy, also ontology of becoming, or...
- Mathematicism
Mathematicism is 'the effort to employ the formal structure...
- Gödel's ontological proof
Gödel's ontological proof is a formal argument by the...
- Ontology (Information Science)
Mathematicism is 'the effort to employ the formal structure and rigorous method of mathematics as a model for the conduct of philosophy', [1] or the epistemological view that reality is fundamentally mathematical. [2]
Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God. The argument is in a line of development that goes back to Anselm of Canterbury (1033–1109).
Sep 25, 2007 · Putnam applied Quine’s naturalistic stance to mathematical ontology (Putnam 1972). At least since Galilei, our best theories from the natural sciences are mathematically expressed. Newton’s theory of gravitation, for instance, relies heavily on the classical theory of the real numbers.
Mar 23, 2022 · An accessible introduction to contemporary work in the philosophy of mathematics, with a special focus on ontology, realism, and platonism, logicism, and the role that Gottlob Frege’s work played in the development of the philosophy of mathematics.
Summary. This Element looks at the problem of inter-translation between mathematical realism and anti-realism and argues that so far as realism is inter-translatable with anti-realism, there is a burden on the realist to show how her posited reality differs from that of the anti-realist.
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Sep 16, 2013 · Nominalism about mathematics (or mathematical nominalism) is the view according to which either mathematical objects, relations, and structures do not exist at all, or they do not exist as abstract objects (they are neither located in space-time nor do they have causal powers).
