Saturday, January 31, 2026

Multiplied Bearings

 I have said that all branches of knowledge are connected together, because the subject-matter of knowledge is intimately united in itself, as being the acts and the work of the Creator. Hence it is that the Sciences, into which our knowledge may be said to be cast, have multiplied bearings one on another, and an internal sympathy, and admit, or rather demand, comparison and adjustment. They complete, correct, balance each other.

[St. John Henry Newman, The Idea of a University, Discourse 5: Knowledge Its Own End.]

Friday, January 30, 2026

Dashed Off III

 'freedom to make public use of one's reason in all matters' as an intrinsic freedom of citizenship, arising from the citizen's responsibility for common good (this is much more robust than Kant's version; Kant still thinks like a subject in a Prussian autocracy, and therefore only comes close when he thinks of cosmopolitan citizenship)

Reading begins not with the text but with common humanity as context for the text.

A key skill in mathematics is being able to distinguish relevant and irrelevant abuses of notation.

Set theory mostly succeeds by conforming fairly closely to what mathematicians usually do, taking a bunch of things together and considering relations on them, etc. The intuitiveness of set theory lies entirely in mathematical practice.

CEO's have an excessive tendency to see themselves as leaders when in fact they are just coordinators.

idea-based theistic arguments mapped on rationalism vs empiricism
Can the senses convey ideas of infinity, &c.?
YES: [weak empiricism] -- religious perception arguments
NO: Then do we have such ideas?
--- --- NO: [strong empiricism]: analogical design arguments
--- --- YES: [rationalism]: Then can we think them without language?
--- --- --- --- NO: [weak rationalism] traditionary arguments
--- --- --- --- YES: [strong rationalism] Then can we do so immediately?
--- --- --- --- --- --- NO: causal infinite intelligible arguments
--- --- --- --- --- --- YES: ontological arguments

Scientific inquiry requires a memory much larger than one person can hold.

heroism proper vs relative heroism in narrative

How a right should be protected depends on what makes it a right.

the internal dogmatism of practice

"Matter is never without some privation; insofar as it possesses one form, it lacks another, and vice versa." Aquinas
"It is on account of matter that a singular is both one in number and divided from other things."
"Every body is potential, because a continuous object, as such, is infinitely divisible."
"Although art is not able to introduce a substantial form by itself, it can nevertheless introduce such a form by the power of nature, which it uses as an instrument in its own operation."
"Meriting reward requires the grace of a disposition."
"People can make more or less use of the natural love they have for God over everything."

domain-relative mereological fusion

transformation, transmateriation, transubstantiation

God has typically destined human beings for at least three states, each of which is to contribute to our full completion as human:
(1) our natally embodied state
(2) our mortally disembodied (immaterial) state
(3) our resurrected state.
Whether there are others, we do not know. There is reason to think that (2) will not in the end be universal.

being in place by being contained by a boundary vs. being in a place by objectively containing the place through exercise of power vs. being in a place by being a precondition of place (place itself being contained as under a condition)

Scripture : innate human immune system of the Church :: Creed : adaptive immune system of the Church
-- Scriptures provides part of the Church's non-specific defense, good for some immediate and common problems; the Creed, building on this as background, provides a framework for specific targeting that requries recognition of the exact type of problem.

In physics, geometry describes effects on measuring devices.

We are close to understanding when we doubt that we doubt.

"As the garments of the saints still retain wondrous powers, so is many a word sanctified through some splendid memory, and has become a poem almost on its own." Novalis
"He who cannot make poems will also only be able to judge them negatively. True criticism requires the ability to create the product to be criticized oneself. Taste alone only judges negatively."
"Whoever first understood how to count to two, even if he still found it difficult to keep on counting, saw nonetheless the possibility of infinite counting according to the same laws."

The regular use of materials for signs makes the materials themselves signs.

stage/film acting as using oneself as a sign for a particular kind of context

relics as physical memory

The material of a text modulates its functions.

precepts, rights, rites

The literal sense has in it aspects analogous to the spiritual senses, but distinct from them as being in the text and not its objects.

The two questions people often are reluctant to answer carefully in any matters of reparation, but which must have exact answers for reparation to succeed: Reparation from whom? What, specifically, is required for actual repair and restoration?

That there are many things therapy cannot heal can be seen simply from the fact that nothing can be guaranteed from therapy that cannot be paid for.

The human form is called 'soul' or 'life' in this individual considered as such, and 'humanity' insofar as as this individual is considered as related to others with the form.

We say that God is one substance to deny division and that He is three Persons to deny confusion; attempts to reject such formulae are premised on the idea that all unconfused are divided and all undivided are confused. Neither of these is true, and it would be wrong to say that they are true even for all creatures, nor is it difficult to find counterexamples.

polyonym: different names, common meaning

The common/proper distinction is a distinction in applied functionality of names, not names as such.

We can only base human ethical reasoning in reason insofar as reason involves a template of orderly good for human persons.

From our earliest days, we answer to those who answer for us.

Scientific understanding grows within a social ontology of theories, experiments, and inquiries.

pre-designated vs post-designated evidence

No one likes all the parts of a vocation; no one has a vocation to the fun and easy.

orbitronics: uses orbital angular momentum rather than charge or spin

In the Principia, Newton takes geometry to get its principles from "mechanical practice" and to be "nothing other than that part of *universal mechanics* which reduces the art of measuring to exact proportions and demonstrations." Taking this to be so, he holds that geometry applies to magnitudes and mechanics to motions only in the most common cases.

In Carnap's understanding of verification, the verification principle has to identify meaning with an ideal series of possible confirmations tending toward complete verification, one that is probabilistic and infinite -- which corresponds to a 'method of verification' that unifies the series.

A sentence has many different contexts at once; the 'context change potential' of any given sentence is an extremely complicated matter, since one has to consider the likely contexts and their interactions or relations with each other.

In even very simple conversations, the 'current state of the conversation' is multi-layered, as are the 'information states of the conversational participants' -- e.g., we assess from a sentence something about the world., something suggested or implied or implicated about the world, the mood of the conversation, the emotional state of the participants, the wya this conversation relates to other conversations, etc.

Any account of language understanding that first requires identifying the literal meaning is a nonstarter; literal vs figurative is a post-hoc comparative distinction, not one immediately discernible or even discernible without serious thought.

Language understanding involves many things, most of which are not particularly associated with belief.

Whether or not a proposition is such as to allow one to determine a weight or degree of probability for it, depends on that to which one compares it.

Logical empiricists tended to confuse observation sentences with lists of measurements; but actual observations are perspective- and method-based unifiecations into a given set of relations that are selected for specific reasons, and observation sentences describe these observations.

(object -> value) -> evidence

evidence as value for conclusion-drawing in an inquiry

"When the same, similar, equal, or congruent principium is posited (i.e., efficient, defiicent, or occasional causes), then the same, similar, equal, or congruent  principiates, causes, effects, occasions, etc., are posited as well; and vice versa." Baumgarten
--Baumgarten takes this to generalize Newton's 2nd Rule and Gravesande

experiments as premise-generators

Whether or not we can release ourselves from duties to ourselves depends on whether we can dissolve our relevant moral personhood, or, in other words, whether we can dissolve the moral situation in which the duty occurs.

Promises to oneself are taken to be binding to the extent that they are before a tribunal (conscience, public opinion, the gods, God, etc.).

Pr 29:27 -- being hated is not a sign of injustice, nor being loved a sign of justice, for one may be justly or unjustly loved or hated

The 2nd, 3rd, 4th, and 5th Amendments to the Constitution all block common means by which tyrants use state power to dominate people.

"The Lamb who is at the center of the Throne will lead them to the Springs of the waters of life." (Communion for St. Catherine of Alexandria, cf. Rv 7:17)

presential gratitude for gratitude and reflective gratitude for gratitude

War crimes often lie in the organization of martial actions rather than in the actions organized; this is why it can sometimes happen tthat one giving the orders commits a war crime although none of his subordinates do.

Falsifiability is important for physical theories because it is a guide for empirical interpretability, which is in fact more important.

Accurate probabilities presuppose correct classifications.

The regulative/constitutive distinction, if it does not simply reduce to practical/theoretical, presupposes assumptions about the nature of the world.

intelligible, ordered, enduring harmony

When one cannot find a solution, it is often because one misconceives the problem.

Thursday, January 29, 2026

The Spirit of Inspiration

 It is by no means to be denied that the man who subjects himself to studies too severe does violence to his nature; and, although he may sharpen his intellect on one point, yet whatever he does wants the grace and facility natural to those who, proceeding temperately, preserve the calmness of their intelligence, and the force of their judgment, keeping all things in their proper place, and avoiding those subtleties which rarely produce any better effect than that of imparting a laboured, dry, and ungraceful character to the production, whatever it may be, which is better calculated to move the spectator to pity than awaken his admiration. It is only when the spirit of inspiration is roused, when the intellect demands to be in action, that effectual labour is secured; then only are thoughts worthy of expression conceived, and things great, excellent, and sublime accomplished. 

[Giorgio Vasari, "Paolo Uccello" in The Lives of the Most Eminent Painters, vol. 1, Lavin, ed., Heritage Press (New York: 1967) p. 107.]

Wednesday, January 28, 2026

Common Doctor

 Today is the feast of St. Thomas Aquinas, Doctor of the Church. From his commentary on Ephesians (lect. 6, sect. 124)

A city possesses a political community whereas a household has a domestic one, and these differ in two respects. For those who belong to the domestic community share with one another private activities; but those belonging to the civil community have in common with one another public activities. Second, the head of the family governs the domestic community; while those in the civil community are ruled by a king. Hence, what the king is in the realm, this the father is in the home. 

 The community of the faithful contains within it something of the city and something of the home. If the ruler of the community is thought of, he is a father: our Father, who is in heaven (Matt 6:9); you will call me Father and will not turn from following me (Jer 3:19). In this perspective, the community is a home. But if you consider the subjects themselves, it is a city since they have in common with one another the particular acts of faith, hope and charity. In this way, if the faithful are considered in themselves, the community is a civil one; if, however, the ruler is thought of, it is a domestic community.


Tuesday, January 27, 2026

Mereological Fallacies of Distribution

Due to the analogy between categorical syllogisms and mereological inferences, fallacies of distribution have mereological analogues. Some examples:


Undistributed Middle

Categorical Syllogism:

All C is B
All A is B
Therefore All A is C.

Mereological Syllogism:

C is part of B
A is part of B
Therefore A is part of C.

Illicit Process of Major

Categorical Syllogism:

All C is B
No A is C
Therefore No A is B.

Mereological Syllogism:

C is part of B
A does not overlap C
Therefore A is not part of B.

Illicit Process of Minor

Categorical Syllogism:

All A is B
All A is C
Therefore All B is C.

Mereological Syllogism:

A is part of B
A is part of C
Therefore B is part of C.


The matter, of course, is quite general. For mereological propositions in the form 'A is part of B', A is distributed and B is undistributed; for the form 'A overlaps B', both are undistributed; in the form 'A is not part of B', both are distributed; in the form 'A does not overlap B', A is undistributed and B is distributed. In mereological syllogisms, the same rules for distribution apply: middle terms must be distributed, and what is distributed in the conclusion must be distributed in the premises.

None of this is particularly surprising, since historically the mereological syllogisms seem to have come first, and the concept of distribution for categorical syllogisms seems to derive from thinking about mereological syllogisms. But sometimes it's worthwhile to think about things explicitly.

Monday, January 26, 2026

Links of Note

 * CĂ©line Leboeuf, Walking in Simone de Beauvoir's Footsteps, at "Why Philosophy?"

* Marco Montagnino, Gadamer's Return to Parmenides (PDF)

* Gregory B. Sadler, By the Content of Their Character: Christian Love and Virtue Ethics in Martin Luther King's Writings

* Andrea Roselli & Gauvain Leconte-Chevillard, What a Powerful World (PDF)

* Kelsey Hartley, Kristin Lavransdatter Resource Roundup, at "Reading Revisited"

* Susanna Schwartz, The Enchanted Windows of Jane Austen, at "The Enchanted Window"

* Sergiu Margan, The Structural Necessity of Valuation: Why Biological Explanation Requires More than Selection (PDF)

* William Lambert, On Metaphysics as a Guide to Morals, at "Short Views"

* Virginia Weaver, critic as physician, at "Overlong Memories"

* Matthew Minerd, A Noetic Taxonomy of Discursive Wisdom, at "A Thomist"

* Luke Russell and Brandom Warmke, Forgiveness, at the SEP

* Laurenz Ramsauer, Kant's Casuistical Questions (PDF)

* Ian Gubbenet, Did Tolkien's Elves Have Pointed/Pointy Ears?, at "Arda Rediscovered"; it also along the way discusses why pointed ears are often associated with fairy creatures today.

* D. Luscinius, Ennead I.3: On Dialectic [The Upward Way], at "Nelle parole"

* C. S. Lewis and the Greatest Arthurian Epic, at "The Library of Lewis and Tolkien"

* Dimitra Fimi, Where (or What) is Neverland? Peter Pan and the Fantasy Tradition, at "A kind of elvish craft"

Sunday, January 25, 2026

In Mystery Their Birth

 The Divine Law
by Sir Aubrey de Vere 

 The natural Law, howe'er remote, obscure
Of origin, lies patent to the eye
Of Reason; whence astute Philosophy
From shrewd induction points to issues sure:
The laws of men but for a time endure;
And vary, as their plastic frame we spy
Through shifting glasses of expediency--
The Laws of God, immaculately pure,
Unalterably firm, whose sanctions claim
Affinity with naught of Earth, these laws
Have their deep root in Faith, in Hope their aim,
In Mystery their birth, in Love their cause;
League Earth with Heaven; and, knowing how to bind
Angels with Power, have care for human kind.