That sounds like a refusal to distinguish between syntax and semantics,
No, these people whom I label “strong atheists” claim that what rows of words they label ‘coherent’ and ‘incoherent’ have only to do with whether what they are saying refers to something imaginable or not, regardless of syntax and semantics. The people I label “strong atheists” claim that if what is being said or read refers to something that can be imagined as being sensed, then they label what is being said as ‘coherent’. And they say conversely, if nobody can imagine anything for what is being said to refer to, they label it “incoherent”.
You may be saying that I am labeling these people incorrectly. Maybe I am, for lack of a better term for them. I’m not up on what words have been coined for such people. I’m just telling you about their claims, for I’ve talked to them and studied them. If you know of the correct label for them, then please tell me the correct label for them and I’ll use it. I’m just telling you what sort of rows of words these people label “coherent” and which rows of words they label “incoherent”.
PseuTonym:
After somebody does a bit of work constructing mathematical apparatus to represent strategies for non-probabilistic games such as tic-tac-toe, the following becomes not merely meaningful, but very specific:
S(G) = {x: x is a winning strategy for game G}. In that terminology, we can rewrite what we seem to agree upon: S(tic-tac-toe) = the empty set
The empty set ∅ is “mathspeak”. In reality, what is labeled ‘the empty set’ in mathematics is just ‘nothing at all’ in reality. It’s like the number zero, the cardinality of the empty set. Sure 0 is labeled a number, but only because that’s a very convenient way to have things in math, but actually zero should not be labeled “a number”, but the absence of number.
If zero were actually ‘a number’ outside of mathematics, then I could brag and say that I own ‘a number’ of multi-million dollar mansions, as well as ‘a number’ of Roll-Royces.
The ancient Romans did a lot of useful mathematics using their Roman numerals which had no zero at all. But in math, and in speech, we speak as though “nothing is something” because it’s convenient to talk that way, but math ain’t reality. In reality, nothing ain’t something, because there is nothing at all. (Yes I know ain’t ain’t good English)
PseuTonym:
I’m not convinced that the description “incoherent” is appropriate, or warranted above.
Now we’re getting into semantics. Before we can argue about labels such as “coherent” and “incoherent” we must be absolutely sure we are on the same page of thought rather than language, OK? Otherwise it could be like the argument “I have a dozen donuts” “No you don’t, you have twelve donuts”.
Strong atheists claim that if what is being spoken refers to something that can be imagined, they label what is being spoken as “coherent”. If what is being spoken does not refer to something that can be imagined, they label what is being spoken as “incoherent”.
PseuTonym:
If infinity is the problem, then you might be interested in knowing that at least one mathematician made an effort to describe a coherent way of doing mathematics without infinity.
This is getting back into mathspeak. In calculus mathematicians never speak of “infinity”. They only say “as x approaches infinity” which is just another way of speaking of a variable x taking on larger and larger values without bound. They may say “the limit of 1/x as x approaches 0 is infinity”, but they’ll tell you that all they mean is that when x gets arbitrarily close to 0, 1/x gets larger and larger, and if you tell them how large you want 1/x to be, no matter how large, they can always calculate for you a domain, or interval of values around 0, such that 1/x will be that large or larger. They have no need for anything to label “infinity”.
PseuTonym:
People who deny the existence of infinite entities usually either refuse to learn very much mathematics, or insist that mathematics is an extremely effective tool that relies upon acceptance of nonsense and fiction as though it were fact.
I suppose you would say that the famous mathematician David Hilbert is one of the latter. His famous quote is “Mathematics is a game played according to certain simple rules with meaningless marks on paper.”
Anyway, strong atheists would not claim to do anything labeled “to deny the existence of infinite entities”. They would claim the row of words “to deny the existence of infinite entities” makes no sense, and consider it the same as if they had heard “to deny the existence of bliffles and zickets”, which is the same as not hearing anything at all.
You like math apparently. What is a number? It’s simply an adjective! If I say “I have five apples”, then “five” is an adjective modifying the plural noun “apples”. An adjective is a word that modifies a noun or pronoun (or noun phrase or clause) and tells ‘which’, ‘what kind of’, or ‘how many’. Numbers are adjectives that tell ‘how many’. That’s all they are – adjectives of quantity.
Enough about math. Do you have a different label for these people I label “strong atheists”?