Category Archives: Modality

A plausible cosmological argument from the Principles of Sufficient Reason.

Ever since discovering Aquinas’ third way, Copleston’s cosmological argument (in his debate with Russell), and reading Pope Pius XII’s statement in Humani Generis that: It is well known how highly the Church regards human reason, for it falls to reason … Continue reading

Posted in Apologetics, Epistemology, Metaphysics, Modality, Natural Theology, Philosophy, Theology | Tagged , | 17 Comments

Logically Possible Mind Independent Temporal Relations

In order to have a logically possible world without any subjects who experience anything like time’s flow, and still have B-theoretic temporal relations such as ‘earlier-than’ or ‘later-than’, one simply has to be a realist about B-theoretic properties, and state … Continue reading

Posted in Infinities, Leibniz, Modality, Philosophy, Philosophy of Time | Tagged , , , , | Leave a comment

Conditional Thoughts

I was just reading A counterexample to Modus Ponens, a paper written by Vann McGee, and I think the paper fails to provide what the title promises. However, in thinking about it for myself, I came up with an interesting … Continue reading

Posted in Logic, Miscellaneous, Modality, Philosophy | Tagged | 1 Comment

Bruteness is Transitive from Part to Whole

Some properties are transitive from part to whole, such as being spatially extended or being partially actualized, etc. Take a set of facts all of which are necessary save for one fact, a contingent fact. That set of facts will … Continue reading

Posted in Apologetics, Epistemology, Modality, Philosophy | Tagged , , | Leave a comment

Is there a set of all possibilities?

This question can be rephrased thus: is there a set of all logically possible worlds? Thinking of worlds as maximally consistent sets of propositions yields set-theoretic paradoxes, which, it seems to me, we can get out of by treating them, … Continue reading

Posted in Metaphysics, Modality, Philosophy | Tagged , , | Leave a comment

Maximally specific propositions and libertarian freedom

There may be a concern that adopting the convention of talking of logically possible worlds as maximally specific propositions, each of which entail all truths at/in that logically possible world, seems to undermine libertarian freedom, since contingent choices are entailed … Continue reading

Posted in Logic, Metaphysics, Modality, Philosophy | Leave a comment

Set-Theoretic Redundancy Eliminated

“A possible world is a maximal conjunction of compossible abstract propositions (a BCF in our abbreviational terminology), with repetitions and other logical redundancies eliminated so as to avoid to set-theoretic paradoxes. Each world is individuated by its Big Conjunctive Contingent Fact (BCCF), which … Continue reading

Posted in Logic, Metaphysics, Modality, Philosophy | Tagged , , , , , | Leave a comment

Stoic Logic, Disjunctive Conjunctions and Counterfactual Conditionals

I have just begun studying Stoic Philosophy in a philosophy class of mine, and it is interesting to me that the Stoics had different doctrines of logic than modern logicians have. I thought I would take a brief look at … Continue reading

Posted in Logic, Modality, Philosophy | Tagged , , , | Leave a comment

“Only X is true” is logically false

I was thinking about Patrick Grim’s Cantorian argument just now, and I was trying to think of a really easy way to explain to somebody who isn’t at all familiar with set theory why the argument does establish that there … Continue reading

Posted in Modality, Philosophy | Tagged | Leave a comment

True Propositions about Not-Anything?

Here’s a quick reflection I came up with today thanks to the conversation I’m having with Robert Oerter on his blog. Can one say anything true about a world in which nothing exists? By ‘nothing’ I don’t mean empty space, but … Continue reading

Posted in Apologetics, Metaphysics, Modality, Philosophical Theology, Philosophy | 3 Comments