Questions tagged [natural-language]

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Can formal languages have verbs?

Perhaps stupid question but I ask nonetheless. The question: Can Formal languages have a concept of a verb? If never, why can't they? Context: In natural language, we have verbs to describe action. In ...
1 vote
1 answer
53 views

Is natural language logic agnostic?

Is natural language logic agnostic? By that, I mean are there rules in classical logic that is implied to be true by natural language, are there logic rules in classical logic that must be true in ...
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3 votes
3 answers
840 views

Are the concept of time and space apriori to natural language or are they just references within natural language?

Are the concept of time and space apriori to natural language or are they just references within natural language? Time and space are fundamental concepts to existence and ontology. Natural languages ...
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-1 votes
3 answers
199 views

Why is math powerful?

I've been having this thought for days now, and I haven't been able to come up with a satisfactory answer. It seems to me that one can arguably caricature mathematics as an impoverished natural ...
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2 votes
2 answers
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Can we define a sequence of words?

Suppose that we define: "The president of USA" := John Is it correct to say that when we have a statement like: "The president of USA plays football". we can expand it like: "...
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1 vote
1 answer
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Is the semantic/model-theoretic regress an infinite, vicious regress? [closed]

Logic consists of proofs, not bold assertions. Semantics means assigning truth-values, it's kind of unavoidable, syntax alone is just string concatenation. You can't do away with axioms either. Also, ...
3 votes
2 answers
327 views

What does the emergence of different interpretations of Wittgenstein signify?

So I was listening to this Podcast about Wittgenstein the speakers are the Professor of Philosophy of University of South Hampton - Ray Monk, Senior Lecturer of University of York - Mary Macgin and ...
2 votes
1 answer
55 views

Do spoken languages have a sense of operators with 'order of operations'

This is something I came across while thinking about expressing a 'nested' choice, i.e. you make a choice where one of the options entails making another choice, for example, at college you could ...
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1 answer
109 views

What is the logical function of “and/or”?

In natural language, we often use an enumeration or list of things with only a single logical operator. I am especially puzzled by the use of "and/or" and what it is supposed to mean in this ...
6 votes
6 answers
2k views

Why don't we say the "unreasonable effectiveness of language"?

What's so special or unique about mathematics that we keep coming back to this phrasing? It isn't universal concision - there are many concepts more concisely put in English than math. Like to show ...
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2 votes
2 answers
164 views

Formal versions of exotic logical connectives in natural language

Formal logic tends to be concerned with minimal or at least almost-minimal sets of logical connectives. The standard logical connectives are and, or, implies, iff, neg (I couldn't use Latex for their ...
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-1 votes
2 answers
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Is it rational to use disjunctive imperative sentences?

Suppose you tell someone, "Go to the store or go to the creek." Now, if this person is otherwise predisposed to one option, and your command triggers this predisposition, then by issuing the ...
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Is "always" omitted in mathematics?

Consider the statement: "For two numbers a,b their product is positive". For this statement to be true it must be true for every a,b right? So is the above statement equivalent to: "For two numbers a,...
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3 votes
2 answers
301 views

Logical fallacy: Person argues with wrong probability of event, without considering similar events

I know that this is a common error in argumentation that people make, but I don't know if there is a term for it. It's when people argue from an event being remarkable because of its low probability, ...
9 votes
1 answer
712 views

Does there exist a "valid" application of Gödel's incompleteness to "logical natural language statements"?

Does there exist a "valid" application of Gödel's incompleteness to "logical natural language statements"? It can be found to sometimes be naively applied that way, even when the incompleteness ...
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1 vote
1 answer
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Wittgenstein and theology

Wittgenstein noted that we engage in language games and quite often we borrow words from different games and misuse them such as using words with scientific connotations in religious discourse or ...
2 votes
4 answers
295 views

Language and Philosophy

It is clear that many words are defined by how they are used. That context defines the word. The setting of the environment together constitutes the context, and a word is a meaningless string which ...
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3 votes
0 answers
164 views

Relation of Mathematical Propositions to Natural Language

Treating Natural Language as a language game, what role does it play in our understanding of mathematics? Does natural language provide meaning to mathematics? Does a proof of a conjecture, say FLT,...
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0 votes
1 answer
311 views

Natural language into propositional logic

Need some help putting these two examples of natural language into sentence logic. For reference, use the transcription guide below: D = you think so; E = I think so; F = it is true If you think so, ...
1 vote
1 answer
131 views

Where Wittgenstein argues that thinking is done in natural language?

I am looking for a precise reference where Wittgenstein writes about the use of ordinary language when people think, and that they do not use formal logic. Even in the case of mathematics. Can you ...
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2 votes
1 answer
225 views

Questions about the relationship between Wittgenstein's Philosophical Investigations and Tractatus

I've read the Tractatus and am now working my way through Investigations, and I have a few questions about their relationship to one another. Obviously I've heard that the latter is critical of the ...
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5 votes
5 answers
405 views

Is an argument in natural language as logically valid as in formal logic?

Is a natural language philosophical argument which is argued strictly from first principles widely considered equally as valid as a proof written in formal logic?
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