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Channel: Kurt Gödel – The Orthosphere
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Nature Cannot Explain Itself

In his brilliant, aphoristic demolition of the modern, Pure: Modernity, Philosophy and the One, philosopher Mark Anderson explains in a few short paragraphs why nature cannot explain nature: A particle...

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Credo: Resurrexit

Except for a couple years when I was in the wilderness, I have partaken each Easter in at least one liturgical celebration of the Resurrection of Jesus Christ from the dead. As a cathedral chorister, I...

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Immergence

When a complex orderly phenomenon such as consciousness arises in matter, it is these days often ascribed to a mysterious emergence of properties implicit in those of its material substrates. But...

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The Proper Terminus of Any Science

Explanations, and the understandings they mediate, must all terminate (at least in principle) upon *some singularity or other* if they are to hang together – if they are to succeed as explanations by...

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The Gödelian Limit of Political Formalism

It is a straightforward corollary of Gödel’s Incompleteness Theorem that no strict formalization of political theory can possibly adequate to the multifarity of human reality, either in the most...

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The Subsidiaritan Criterion of Just Coercion

How can we tell whether a given sort of government coercion is just? Government just is coercive control. But coercion eo ipso traduces a man’s dignity – which is to say, his status as an image of the...

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Nature Cannot Explain Anything

Nature cannot explain supernature, and nor can it explain itself. Nor then can it explain any part of itself. There be no complete explanation of any part of nature by any other part of nature, or even...

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The Halting Problem – there is, definitively, more to thinking than computation

Alan Turing Kurt Gödel’s Incompleteness Theorem was inspired by David Hilbert’s question “Are the axioms of a formal system sufficient to derive every statement that is true in all models of the...

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Gödel’s Theorem

Kurt Gödel and Albert Einstein Kurt Gödel[1] was a Platonist,[2] logician and mathematician who developed the intention of making a profound and lasting impact on philosophical mathematics. His next...

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Chaos and Order; the right and left hemispheres

In The Master and His Emissary, Iain McGilchrist writes that a creature like a bird needs two types of consciousness simultaneously. It needs to be able to focus on something specific, such as pecking...

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On Some Happy Corollaries of Gödel’s Incompleteness Theorems

I shall not now reiterate arguments I here set forth to my own satisfaction in 2012, shortly after we got started – with the corrective editorial (and indeed, therefore, also substantive) help of my...

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Kristor & Ilíon: Gödel, Creation, Evil, the Satan, &c.

In my last post on some happy corollaries of Gödel’s Incompleteness Theorems, I tipped my hat to our long time commenter (and an orthospherean from before there was an Orthosphere) Ilíon, who had...

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Philosophical Skeleton Keys: The Stack of Worlds

This post supervenes my recent post On Some Happy Corollaries of Gödel’s Incompleteness Theorems (so you might want to review that post, and the earlier posts it cites in turn, in order to find...

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Philosophical Skeleton Keys: The Play: Its Wright, Players, & Characters

This post is a sequel to my post on the stack of worlds. It tries to understand a few things about how a stack of worlds might work – or, perhaps, *must* work – and how those workings might help us...

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Philosophical Skeleton Keys: The Stack of Worlds & the Literal Fall; &c.

The stack of worlds implicit in Gödel’s Incompleteness Theorems furnishes a way of understanding the Fall as having happened literally, and in (so far as I can tell) complete congruity with the latter...

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The Kalam Ontological Argument

The Kalam Cosmological Argument is well known: if the cosmos had no beginning, it would not require a creator. Yay, for the atheist! But then, the cosmos would be infinitely old; and, so, it would be...

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Gödelian Incompleteness → Creaturely Freedom

It seems we cannot be free. To each moment of decision, the schedule of inputs is what it is, and as completely constituting the matter of our decision, so it would seem that it completely forms our...

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