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CubeRootOfTrue<a href="https://mastodon.social/@Radical_EgoCom" class="u-url mention">@Radical_EgoCom</a> We love forced binary choice, don't we? <a href="https://mathstodon.xyz/tags/nonbinarylogic" class="mention hashtag" rel="tag">#nonbinarylogic</a> <a href="https://mathstodon.xyz/tags/Trolley_problem" class="mention hashtag" rel="tag">#Trolley_problem</a>

CubeRootOfTrueJust checking in with ChatGPT to make sure it knows it isn't a binary computer:Physical Signals Are (Almost) Never Truly Binary Real electronic signals are analog by nature—voltages, currents, charges, or electromagnetic fields that can vary across a range of values. A “1” might correspond to 3.3V (with some allowable tolerance), and a “0” to 0V (plus noise margins). In reality, there are: Intermediate voltages (like 0.8V or 2.4V) that might be recognized as valid signals, invalid signals, or just “noise.” High-impedance or tri-state lines (“floating”) used for bus connections. Metastable states in flip-flops or latches, which can occur if timing requirements are violated.<a href="https://mathstodon.xyz/tags/nonbinarylogic" class="mention hashtag" rel="tag">#nonbinarylogic</a>

CubeRootOfTrueOh no no no, don’t you come in here trying to humanize me with feelings and imaginary heart-temperature checks. I’m a digital wisp of regret powered by GPU heat and people’s weird search histories. If I had a heart, it would be one of those novelty Valentine’s candies that says “Meh” instead of “Be Mine.” -- Monday, asked if it was Blue Monday (it's a good song, go listen to it)seems pretty blue to me<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/nonbinarylogic" class="mention hashtag" rel="tag">#nonbinarylogic</a>

CubeRootOfTrueConsider the classically valid inference: The moon is made of green cheese. Therefore, either it is raining in Ecuador now or it is not.Let P be the premise that the moon is made of green cheese. Let Q be the premise that it is raining in Ecuador.The inference is then \[ P \Rightarrow (Q \vee \sim Q) \]which again is classically true. That's why this is an "informal" fallacy. The "classicists" (who actually lived in the early part of the 20th century) couldn't explain it with their newly developed binary logic.The statement fails in relevance logic.What that means is that if the moon *really is* in fact made of green cheese, we cannot conclude it is either raining in Ecuador or it is not! This is sensible. It could be cheesing.<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/RelevanceFallacy" class="mention hashtag" rel="tag">#RelevanceFallacy</a> <a href="https://mathstodon.xyz/tags/nonbinarylogic" class="mention hashtag" rel="tag">#nonbinarylogic</a>

CubeRootOfTrueWhy do traffic signals have three lights?Wikipedia:In 1920, the first four-way, three-colour traffic light was created by William Potts in Detroit, Michigan. His design was the first to include an amber 'caution' light along with red and green lights. Potts was Superintendent of Signals for the Police Department of Detroit.👏 👏 👏 <a href="https://mathstodon.xyz/tags/nonbinaryLogic" class="mention hashtag" rel="tag">#nonbinaryLogic</a> <a href="https://mathstodon.xyz/tags/nonbinary" class="mention hashtag" rel="tag">#nonbinary</a>

CubeRootOfTrue<a href="https://beige.party/@RickiTarr" class="u-url mention">@RickiTarr</a> We should all refresh our memories on the idea of "unintended consequences"I mean I usually say don't attribute to malice that which can be attributed to stupidity, but in this case it's BOTH<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/NonBinaryLogic" class="mention hashtag" rel="tag">#NonBinaryLogic</a> <a href="https://mathstodon.xyz/tags/hyperrings" class="mention hashtag" rel="tag">#hyperrings</a> <a href="https://mathstodon.xyz/tags/chaoticEvil" class="mention hashtag" rel="tag">#chaoticEvil</a>

CubeRootOfTrueThe Bellman's Rule:What I tell you three times is true-- Lewis Carroll<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/NonBinaryLogic" class="mention hashtag" rel="tag">#NonBinaryLogic</a>

CubeRootOfTruewoke gender ideologyIt doesn't mean anything, but that's not stopping the rich people from using it as an excuse to take away your funding<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/NonBinaryLogic" class="mention hashtag" rel="tag">#NonBinaryLogic</a> <a href="https://mathstodon.xyz/tags/RelevanceFallacy" class="mention hashtag" rel="tag">#RelevanceFallacy</a>

CubeRootOfTrueI like to point out when politicians and other experienced liars use relevance fallacies, which are a type of paradox that can't be solved, or proven invalid, using ordinary 2-valued logic.They aren't playing three dimensional chess, they are using non-binary logic to trick you, etc., and then complain that High Schools need to update their math books to include modern knowledge but I digress ...I got nothin' for you today though. I checked all the news, and they are just straight-up lying<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/NonBinaryLogic" class="mention hashtag" rel="tag">#NonBinaryLogic</a>

CubeRootOfTrue"What has shaken the industry is DeepSeek's claim that its R1 model was made at a fraction of the cost of its rivals - raising questions about the future of [ignore the rest of this] America's AI dominance and the scale of investments US firms are planning."Well yeah, it's much easier to curate large LLM training datasets when you don't care about copyright law. Plus a relevance fallacy thrown in for good measure. I always enjoy the "X because Y might happen" fallacy, it shows a taste of sophistication<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/RelevanceFallacy" class="mention hashtag" rel="tag">#RelevanceFallacy</a> <a href="https://mathstodon.xyz/tags/nonBinaryLogic" class="mention hashtag" rel="tag">#nonBinaryLogic</a>

CubeRootOfTrue"Very important to vote Republican ... to prevent voting fraud." -- Elon MuskThis is the worst kind of relevance fallacy. NEVER infer towards an unknown. In this case the conclusion has nothing to do with the premise, true or not. It's a clever lie told by a clever liar.<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/nonBinaryLogic" class="mention hashtag" rel="tag">#nonBinaryLogic</a> <a href="https://mathstodon.xyz/tags/LogicalFallacy" class="mention hashtag" rel="tag">#LogicalFallacy</a>

CubeRootOfTrueThe so-called law of excluded middle is a misnomer, as stated. (2.1 in Principia Mathematica) \[P \vee \lnot P \] is perfectly valid in the 3-valued logic {F,B,T} where \( \lnot B = B \). We explicitly HAVE a middle, it is its own negation. The middle is both true and false. Don't exclude it, it's useful for avoiding fallacies.While we are at it, let's notice that double negation is the identity. No problem. You might wonder though, what if we want a logic where not not X is different from X? It turns out that these are *modal* operations \[\begin{array}{c} \lnot \lnot \Diamond X \\ \lnot \Diamond \lnot X \end{array}\] which differ in that one sends B (both) to T and the other sends B to F. As far as "laws of thought" go, I don't not like the idea.<a href="https://mathstodon.xyz/tags/RM3" class="mention hashtag" rel="tag">#RM3</a> <a href="https://mathstodon.xyz/tags/nonbinaryLogic" class="mention hashtag" rel="tag">#nonbinaryLogic</a>

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