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#logic

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#Microsoft's viral paper about *correlations* between #AI use and #criticalThinking also has "impact" in the title (despite admitting "Our analysis does not establish #causation"). 🤦‍♂️

#Confidence in #GenAI predicted LESS critical thinking.

SELF-confidence predicted MORE critical thinking.

PREDICTED ≠ CAUSED

microsoft.com/en-us/research/p

Hey there, any #VoiceOver peeps know how to configure a #UniversalAudio Solo/Arrow interface to record my #VO in a #Logic session with a client directing me on a video call? I’ve tried all the videos and articles about routing and virtual channels in #Console but in a recent Meets call, Meets just hijacked my audio so it was really quiet in Logic. Don’t know what I’m doing wrong. If you could explain it like I’m a baby that would be awesome. Don’t wanna use Loopback.
#HomeRecording #Video

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@tg9541 @bookstodon @philosophy

yes, agree in a way. but do not see a win in playing off those two against each other, as later (after their common work PM) their work developed rather independently in more or less complementary areas, sometimes overlapping in #PhilSci topics.

E.g., if one focusses in #philosophy first of all on questions of #ontology (of science), ANW's process ontology will be much more impressive than the duplicating entities of logical constructs in say 'logical atomism' (which imop is a late and needless sin of BR).

If, on the other hand, the main focus is #logic and logic related
#epistemology and/or #PhilMath, there is roughly anything deeper and more worth considering than say the theory of incomplete symbols; and perhaps no more careful and penetrating study than the ramified theory of types as developed from the circulus vitiosus argument, even when this theory was abandoned in the sequel for independent reasons.

I have just released the public webpage for the #Logic course I am teaching, starting this week, at #ANU : comp.anu.edu.au/courses/comp26 . At a time where too much is behind an LMS paywall, I hope the slides and tutorial exercises introducing logic help some people get to grips with the subject, and also inspires more academics to make their teaching materials publicly available.

COMP2620/6262 (Logic) · Welcome to the COMP2620/6262 Public WebpageThis is the public webpage for the Australian National University course Logic, co-taught as COMP2620 and COMP6262.

Hello World!

I'm a Prof. of #ComputerScience at VRAIN/UPV (València, Spain), mainly working on (explainable, symbolic) artificial #intelligence #AI #XAI, (#probabilistic) #logic #programming, term #rewriting, #causality, #concurrency, programming #languages, #reversible computing, program #verification, and #debugging. 


I plan to use this account mostly for scientific matters, but not only. I'm also quite interested in #photography, #sciencefiction, #travel, #movies, #series, etc, etc.

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@QasimRashid if true this would mean all Corporations from the #USA would be basically forced to violate #AntiDiscrimination|Laws in most #EU member states, as this is mutually exclusive...

Can someone pitch that big #US #FastFood #Execs that they basically will be forced to leave a bigger market (#EU) because of it and let them punch the numbers?

  • Cuz I'm shure Everyone from McDonalds to PepsiCo doesn't want to loose that revenue...

(#Capitalism #logic cuz that's the only thing these suits understand!)

MastodonQasim Rashid, Esq. (@QasimRashid@mastodon.social)A contact at the DOJ sent me a memo from the new AG Pam Bondi. New AG announcement: DOJ will criminally prosecute private corporations who enact DEIA policies. Yes—private corporations😳 This is Project 2025. This is fascism. This will get worse. My full analysis: https://lets-address-this-with-qasim-rashid.ghost.io/ag-bondi-to-criminally-prosecute-private-entities-for-deia/

What's the density of tautologies in propositional formulas?

I know that, if we write down a propositional formula as a binary tree, if we allow \(k\) connectives, and if we consider only *alpha-congruent* propositional formulas (meaning: \(A\implies B\) is considered "the same" as \(X\implies Y\)) then there are:

\[ P_{n}(k) = k^{n}2^{2n+1}B_{n+1}C_{n} \]

different formulas, where \(B_{n+1}\) is the Bell number describing the possible choices of propositional variables, \(C_{n}\) is the Catalan number describing distinct binary trees, and we can negate each connective or leaf which gives us the factor \(2^{2n+1}\), and each internal node of a binary tree can be one of \(k\) possible connectives...usually \(k=4\). (This grows fast, like \(P_{n}(4)\sim n!30^{n}\) or so.)

There's a rough upper bound we can infer quickly. For example, if \(V_{n}(k)\) is the number of valid propositional formulas with exactly \(n\) connectives (and there are \(k\) possible primitive binary connectives to pick from), if \(U_{n}(k)\) is the number of unsatisfiable ("contradictory") propositional formulas in \(n\) binary connectives, then we have \(V_{n}(k)=U_{n}(k)\) since negating a valid formula makes it unsatisfiable (and negating an unsatisfiable formula makes it valid). This suggests that

\[ 2V_{n}(k)\leq P_{n}(k)\implies \frac{V_{n}(k)}{P_{n}(k)}\leq\frac{1}{2}\]

But this is rather coarse of an upper bound.

I know \(V_{0}(4)=0\) and \(V_{1}(4)=12\), but beyond that things just grow too quickly for me :(