First-order arithmetic Related Words

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Here are some words that are associated with first-order arithmetic: successor function, second-order logic, natural number, first-order logic, set theory, mathematical logic, equality, richard dedekind, axiom schema, multiplication, identity element, total order, axiom, mathematician, completeness, arithmetic, metamathematics, element, set, relation, function, begriffsschrift, addition, italian people, ordered ring, giuseppe peano, number theory, map, consistency proof, empty set. You can get the definitions of these first-order arithmetic related words by clicking on them. Also check out describing words for first-order arithmetic and find more words related to first-order arithmetic using ReverseDictionary.org

Words Related to first-order arithmetic

Below is a list of words related to first-order arithmetic. You can click words for definitions. Sorry if there's a few unusual suggestions! The algorithm isn't perfect, but it does a pretty good job for common-ish words. Here's the list of words that are related to first-order arithmetic:

successor function second-order logic natural number first-order logic set theory mathematical logic equality richard dedekind axiom schema multiplication identity element total order axiom mathematician completeness arithmetic metamathematics element set relation function begriffsschrift addition italian people ordered ring giuseppe peano number theory map consistency proof empty set recursion commutative hermann grassmann monoid
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mathematical induction magma charles sanders peirce embedding group arithmetices principia, nova methodo exposita integer latin language logical implication gottlob frege subset george boole ernst schröder contradiction natural numbers non-logical symbol quantifier signature semiring unary numeral system axioms well-order axiom of induction isomorphism homomorphism addition in n mathematical structure closure cancellation property decimal representation category distributive law zermelo–fraenkel set theory equiconsistent tree least element robinson arithmetic recursively enumerable set general set theory model theory skolem finitism ultrafinitism planetmath german language bijective function morley's categoricity theorem john von neumann axiom of infinity axiom of extensionality category theory terminal object pointed unary system natural number object non-standard model compactness theorem löwenheim–skolem theorem tennenbaum's theorem computable function order type bertrand russell henri poincaré david hilbert hilbert's second problem hilbert's problems kurt gödel second incompleteness theorem type theory gerhard gentzen transfinite induction ordinal number epsilon zero turing machine gentzen's consistency proof self-verifying theories

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Words Related to first-order arithmetic

As you've probably noticed, words related to "first-order arithmetic" are listed above. According to the algorithm that drives this word similarity engine, the top 5 related words for "first-order arithmetic" are: successor function, second-order logic, natural number, first-order logic, and set theory. There are 104 other words that are related to or similar to first-order arithmetic listed above. Hopefully the generated list of first-order arithmetic related words above suit your needs.

P.S. There are some problems that I'm aware of, but can't currently fix (because they are out of the scope of this project). The main one is that individual words can have many different senses (meanings), so when you search for a word like mean, the engine doesn't know which definition you're referring to ("bullies are mean" vs. "what do you mean?", etc.), so consider that your search query for words like first-order arithmetic may be a bit ambiguous to the engine in that sense, and the related terms that are returned may reflect this. You might also be wondering: What type of word is first-order arithmetic?

Also check out first-order arithmetic words on relatedwords.io for another source of associations.

Related Words

Related Words runs on several different algorithms which compete to get their results higher in the list. One such algorithm uses word embedding to convert words into many dimensional vectors which represent their meanings. The vectors of the words in your query are compared to a huge database of of pre-computed vectors to find similar words. Another algorithm crawls through Concept Net to find words which have some meaningful relationship with your query. These algorithms, and several more, are what allows Related Words to give you... related words - rather than just direct synonyms.

As well as finding words related to other words, you can enter phrases and it should give you related words and phrases, so long as the phrase/sentence you entered isn't too long. You will probably get some weird results every now and then - that's just the nature of the engine in its current state.

Special thanks to the contributors of the open-source code that was used to bring you this list of first-order arithmetic themed words: @Planeshifter, @HubSpot, Concept Net, WordNet, and @mongodb.

There is still lots of work to be done to get this to give consistently good results, but I think it's at the stage where it could be useful to people, which is why I released it.

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