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Tag Archives: Ontology
Number and Reality 0. An Introduction to a Project in the Philosophy of Mathematics
1. At long last I find myself enjoying a set of circumstances that will allow me to engage in some serious thinking in the philosophy of mathematics; the two September posts, “Ontological Arithmetic. One Realistic Foot in the Door of … Continue reading
Posted in Philosophy of Mathematics
Tagged After Aristotle, Alfred North Whitehead’s Process and Reality, Aristotelianism in the Philosophy of Mathematics, Arithmetic, Geometry, Number, Number and Reality, Ontology, Philosophy of Mathematics, Platonism in the Philosophy of Mathematics, Realism in the Philosophy of Mathematics, Richard Hennessey, Stewart Shapiro’s Thinking about Mathematics
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Ontological Arithmetic. The Second Foot in the Door
Greetings. In the immediately previous post, the “Ontological Arithmetic. One Realistic Foot in the Door of the Philosophy of Mathematics” of September 24, 2020, I said that in the present post I would “spell out how one can prove, demonstrate, … Continue reading
Posted in Philosophy of Mathematics
Tagged After Aristotle, Arithmetic, Definition of What It Is to Be Four Existents, Definition of What It Is to Be One Existent, Definition of What It Is to Be Three Existents, Definition of What It Is to Be Two Existents, Ontological Arithmetic, Ontology, Philosophy of Mathematics, Proof That Any Existent Is One Existent, Proof That One Existent Plus One Existent Are Two Existents, Proof That Two Existents Plus One Existent Are Three Existents, Proof That Two Existents Plus Two Existents Are Four Existents, Richard. E. Hennessey
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Making Sense of Ontological Irrationalism
In his November 17, 2016, post on Siris, “Implying Bottom,”* Brandon Watson casts a critical eye on a paragraph contained in an article by Stephen Maitzen, “The Problem of Magic.”** The two then, in the Comments section, engage in nicely … Continue reading
Posted in Logic, Ontology
Tagged Bernard Lonergan, Brandon Watson’s Siris, Existence of God, Law of Excluded Middle, Law of Non-Contradiction, Laws of Logic, Logic, Ontological Irrationalism, Ontology, Stephen Maitzen’s “The Problem of Magic.”, Theism, Theistic Explanation of the Laws of Logic, Thesis of Particular Contradiction, Thesis of Universal Contradiction
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The Simplest Options Possible in the Theory of Identity in Concise Statement
0. In the course of my continued reading and rereading Réginald Garrigou-Lagrange, O.P., Reality. A Synthesis of Thomistic Thought,* it has occurred to me that the simplest options possible in the theory of identity are susceptible of very concise statement. … Continue reading
Posted in Ontology, Theory of Identity
Tagged Aristotelianism, Classical Rationalism, Contradiction, Contrariety, Heraclitus, Implication, Moderate Pluralism, Monism, Ontology, Parmenides, Particular Affirmative Propositions, Particular Negative Propositions, Radical Heraclitianism, Radical Parmenideanism, Reflexivity of Identity, Theory of Identity, Thesis of the Irreflexivity of Identity, Universal Affirmative Propositions, Universal Negative Propositions
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The Commanding Position of Theology over “All Other Modes of Knowledge” in “Radical Orthodoxy” and Thomas Aquinas
In his April 1, 2014, post on the blog, Against the Grain, “Mulcahy on Milbank,” Christopher Blosser quotes the following passage from Bernard Mulcahy, Aquinas’s Notion of Pure Nature and the Christian Integralism of Henri de Lubac (New York: Peter Lane … Continue reading
Posted in Theology
Tagged Aristotelianism, Bernard Mulcahy, Christopher Blosser, John Milbank, Logic, Ontology, Principle of Identity, Principle of Triple Identity, Radical Orthodoxy, Reflexivity of Identity, Roman Catholic Thought, Theology, Thesis of Monotheism, Thesis of the Trinity of Divine Persons, Thomas Aquinas, Thomas Aquinas's Summa Theologiae, Transitivity of Identity
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Theories of Knowledge … in Parallel Outline 1 Revisited
0. An old friend, or rather a friend, hardly old but of long standing, responded to my December 30, 2013, post, “Theories of Knowledge and Theories of Linguistic Representation in Parallel Outline 1,” with an elegant, “Huh?” That suggested to me … Continue reading
After Aristotle 