#Invariance

[an1llusionist]

bodega and pancake

[totoshappylife]

Doubly robust identification of treatment effects

Excerpt from PDF: Doubly robust identification of treatment effects from multiple environments Piersilvio De Bartolomeis1, Julia Kostin1, Javier Abad1, Yixin Wang2, and Fanny Yang1 1Department of Computer Science, ETH Z¨urich 2Department of Statistics, University of Michigan Abstract Practical and ethical constraints often require the use of observational data for causal inference, par- ticularly…

[omegaphilosophia]

The Philosophy of Invariance

The philosophy of invariance examines the concept of constancy or unchanging nature within various contexts, including science, mathematics, ethics, and metaphysics. This philosophical exploration seeks to understand what remains constant amidst change and why such constancies are significant for our comprehension of reality, knowledge, and truth.

Key Concepts in the Philosophy of Invariance

Definition of Invariance:

Concept: Invariance refers to properties or principles that remain unchanged under specific transformations or conditions.

Argument: Identifying invariances helps in understanding the fundamental nature of systems and theories, providing a stable foundation for analysis and interpretation.

Invariance in Science and Mathematics:

Physical Laws: Many physical laws, such as the laws of motion and conservation laws, are considered invariant under transformations like time shifts or spatial rotations.

Symmetry: Invariance is closely related to symmetry in physics and mathematics. For example, the invariance of physical laws under certain symmetries leads to conservation laws according to Noether's theorem.

Mathematical Constants: Constants like π (pi) and e (Euler's number) are examples of invariance in mathematics, holding the same value across various contexts.

Invariance in Metaphysics:

Universal Principles: In metaphysics, invariance pertains to principles or truths that remain constant across possible worlds or different contexts.

Identity and Change: Philosophers explore how identity can persist over time despite changes, focusing on the invariant core that defines an entity.

Ethical Invariance:

Moral Principles: The idea that certain ethical principles are invariant, holding true regardless of cultural or situational differences.

Universal Ethics: This approach argues for the existence of universal moral truths that apply to all rational beings.

Theoretical Debates and Implications

Role of Invariance in Scientific Theories:

Concept: Invariance as a criterion for the validity and robustness of scientific theories.

Argument: Scientific theories that exhibit invariance under transformation are often considered more fundamental and reliable.

Philosophical Implications of Mathematical Invariance:

Concept: The philosophical significance of invariant mathematical properties and structures.

Argument: The constancy of mathematical truths supports the notion of an objective mathematical reality, independent of human perception.

Ethical Relativism vs. Invariant Ethics:

Concept: The debate between ethical relativism, which denies invariant moral principles, and invariant ethics, which upholds them.

Argument: While ethical relativism emphasizes cultural and contextual differences, invariant ethics seeks universal moral truths applicable to all.

Metaphysical Invariance and Identity:

Concept: The persistence of identity amidst change and the metaphysical basis for invariance.

Argument: Philosophers debate whether there are essential properties that remain invariant to preserve identity through change.

The philosophy of invariance explores the concept of constancy across different domains, from science and mathematics to ethics and metaphysics. By understanding what remains unchanged amidst transformations, this philosophical inquiry provides insights into the fundamental nature of reality, the stability of scientific theories, and the universality of ethical principles.

[technically-human]

He likes the drama

[mulderscully]

THE X-FILES | 4.17

[bacchuschucklefuck]

the puzzle freak who's three apples tall and compliments ur deck for the "level design" while his big dragon shoots the life points off u with lasers

[kogarashi-art]

I continue to be baffled by the occasional posts I see from people ranting about things like "how can you even think to adapt Sonic Adventure 2 without Rouge or Amy?" and "I hope they do justice to [any number of things from SA2] when they adapt it!" and all I can think is...why do you think it's going to be an adaptation of SA2? Just because Shadow is in it?

The first movie was not an adaptation of the original Sonic the Hedgehog. The second movie was not an adaptation of Sonic 2 or Sonic 3 & Knuckles. The Knuckles miniseries was not an adaptation of Sonic & Knuckles.

The third movie is going to be its own thing that draws on the games for inspiration. That's it.

Just...where is this coming from?

[vintagerobin]

I know this is a very unpopular opinion in the Dick Grayson fan community, but I really don't think Dick is more emotionally mature than Bruce. I think it's just easier to overlook Dick's issues in part because Dick rarely turns the charm off and in part because most people are used to thinking of him as being very young. And of course he was extremely "mature for his age" when he was younger - but so was Bruce.

Dick still has a lot of the same issues emotionally and in his close personal relationships as he did when he was a kid/teen, many of which are notably similar to the issues Bruce has - to the point that it's been pointed out to him repeatedly by the people closest to him. Like I have a hard time thinking of anyone who's been really close to him who hasn't said that at least once for one reason or another, and often more than once for multiple different reasons.

I'm just... not super fond of the way fandom often dichotomizes them as good and ideal traumatized guy vs bad and reprehensible traumatized guy. Especially when one of their overarching narrative themes from their creation to now is that they're mirrors of each other, more alike than they are different.

[vaguely-concerned]

the fact that irving canonically survives through the end of asunder to be at wynne's funeral is so fucking funny to me. nothing but love and respect for MY unstoppable cockroach morally grey machiavellian mage dad!!! he's survived in his position through multiple attempted rites of annulment and blood mage plots popping up left right and center around him. the chantry keeps trying to stamp him out but his dodge game is simply out of this world, divine. civil wars, political machinations and minefields, chantry atrocities, this wily old motherfucker is dodging and weaving his way through it all, not-quite-no-hits-taken-running-it-but-honestly-close-enough-under-the-circumstances style. if solas does succeed in tearing down the veil I would fully believe that one of the like three people still alive at the end of it all would be a very weary 90 year old first enchanter irving going 'oh this shit again huh'. the maker has cursed him for his hubris and his paperwork is never finished (affectionate, it's fine he canonically loves paperwork)

[danielsarmand]

television drastically shortening the amount of episodes for shows really is ruining what would otherwise be Good stories because i feel like most of the complaints this new season of doctor who is receiving are due to things that could've been fixed by articulation and lengthier build-up

[stagefoureddiediaz]

The fact they keep referencing Eddie’s lying on the show and in interviews has me giggling and kicking my legs and twirling my hair.

It’s almost like we’re meant to read into the fact Eddie’s not always being truthful - with himself and others. Almost like, I don’t know, him going to confessional and telling a priest that he lied to everyone in his life and then later him telling that same priest that he’s straight might possibly be showing us Eddie not being truthful with himself or others!!

[my-deer-friend]

Writing a paper about 19th-century Poland will have you asking questions like, "What even is she?"

[lelianasbong]

i DO think it's going to be funny to watch the dragon age fandom explode when people finally get their hands on veilguard. and realize all of the companions have Opinions

[aliusfrater]

i wanted to explain myself to myself in an understandable way. i gave shape to my fears and made excuses. i varied my velocities, watched myselves sleep. something's not right about what i'm doing but i'm still doing it — living in the worst parts, ruining myself.

richard siken, war of the foxes

[floralfractals]

@greetings-inferiors idk how to say this without seeming stupid so ill just say it. i dont know how differentiation works anymore.

[nostalgebraist]

OpenAI's "o1" reasoning model is incapable by design of saying anything without thinking it over first.

Which results in cute (?) moments like this, where – in response to the single word "Thanks!" – it says the same "any more questions" sound byte that all its siblings say, but only after five seconds of careful, verbose inner deliberation

(N. B. the user only gets to see a summary o1's chain of thought, not the thing itself. The blockquote under "Thought for 5 seconds" is this summary; the original chain of thought was presumably somewhat longer, given that o1 can write ~30 words per second)