baywax
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Absolutes exist in so far as the word "absolutes" exists. Next?
loseyourname said:. "Bachelor" and "unmarried male" mean exactly the same thing, .
baywax said:Absolutes exist in so far as the word "absolutes" exists. Next?
Yes, the addition operation, like any operation, is just a function that takes some of your domain's objects as input and maps them to another object as output. From a syntactic perspective, it gives you multiple names for the same thing. Your definition of "+" will effectively say that "5+7" and "12" are both strings that refer to the same object.loseyourname said:I don't know enough about arithmetic theory to break this down in any particularly insightful way, but to a layman, they look about the same. A definition in English is one string of terms that is equivalent in meaning to another string. "Bachelor" and "unmarried male" mean exactly the same thing, so the statement "all bachelors are unmarried males" is true by virtue of this fact. In the same way, "5+7" and "12" are two ways of representing the same number, that is, they are computationally equivalent, making the statement "5+7=12" true.
sd01g said:It seems pretty sure that absolutes exist in the rational reality of thought, but do they exist in the empirical world?

If you are having trouble understanding-if absolutes did not exist, that condition itself would be an absolute.
baywax said:Put another way:
if absolutes did not exist, that condition itself would be an absolute.
Thus, absolutes will always exist in a kind of "immortal" way.
sd01g said:I agree that at least ONE absolute necessarily must always exist as long as there is rational thought, but where (or in what form) was this 'absolute absolute' before there was rational thought, or where will it exist after there is no more rational thought? Would you care to elaborate on the very interesting concept of existing in a kind of immortal way?

Yes, maybe a lot of things are a lot of ways. But if you want to arrive at a conclusion, you need to start with some premises. Did you ever read Lear? Nothing will come of nothing: speak again.madness said:A proposition is only true within (relative to) the assumptions of that model of logic, ie propositional logic etc, in that sense the proposition is only true in a relative sense. Perhaps truth is relative, and things can only be absolute within certain reference frames (models of truth). But then again, maybe there is only one correct model of truth and everything is either absolutely true or false. If there is only one correct model of truth, then I don't think it is possible to know with certainty what it is. For example, something might be true relative to the assumption that god exists, but false relative to the assumption that he doesnt. How can we know which one is absolutely true, if either?
madness said:A proposition is only true within (relative to) the assumptions of that model of logic, ie propositional logic etc, in that sense the proposition is only true in a relative sense. Perhaps truth is relative, and things can only be absolute within certain reference frames (models of truth). But then again, maybe there is only one correct model of truth and everything is either absolutely true or false. If there is only one correct model of truth, then I don't think it is possible to know with certainty what it is. For example, something might be true relative to the assumption that god exists, but false relative to the assumption that he doesnt. How can we know which one is absolutely true, if either?
What is dangerous about it? It is done regularly in math, science, daily life, and so on. I do it all the time. How could you avoid it?baywax said:This is also why delineating an absolute is dangerous and often disappointing.
honestrosewater said:What you are describing is known throughout philosophy, math, and science as an assumption, premise, hypothesis, axiom, postulate, etc.
What is dangerous about it? It is done regularly in math, science, daily life, and so on. I do it all the time. How could you avoid it?
And why do you find the axioms especially scary? In addition to them, you have rules about what you can derive from them and how. And you probably have another system on top of that in which you check, or try to check, that your system has all of the properties that you want it to have, and so on.
If you know that your assumption is just that -- an assumption -- what causes the danger and disappointment?
No, I am just trying to clarify what I see here. It's a definition. If you want it to be, just state it.baywax said:Are you implying that an absolute is an assumption? Because that would make a good definition.
honestrosewater said:No, I am just trying to clarify what I see here. It's a definition. If you want it to be, just state it.
I don't find that definition helpful. I already have plenty of words for assumptions. (That list goes on.) And I use "absolute" for other things. But it fits with the idea of absolutes not being dependent upon other things in some way, so I don't completely hate it. Or maybe I do because of the potential confusion. Note that an assumption is not the same thing as a tautology or contradiction.
Go for it if it is useful to you. Define and let define, I guess.![]()
sd01g said:My dictionary defines 'bachelor' as an unmarried man. I was wondering if anyone knows a 2 month old male bachelor?
madness said:Any assumptions (axioms of a system) are propositions themselves, and any truth within a certain model depends on these propositions and is hence relative to them. If it turns out that one set of axioms is correct (corresponds to reality?) and all others are incorrect, then it could be said that any proposition that can be logically derived from the axioms of the system is absolutely true. But then the Godel Incompleteness theorem shows that there are still propositions within that system that cannot be shown to be absolutely true or false by the axioms of the system. So even if there was one model of truth that was correct, we would not be able to show whether certain things are true or false.
I would like to understand what you are saying, but I am still waiting for a definition of "absolute". What you are saying sounds to me like "However, one can assume a condition is brillig. In fact one has to assume it is brillig because one may not be around to find out otherwise."baywax said:However, one can assume a condition is absolute. In fact one has to assume it is absolute because one may not be around to find out otherwise.
The freezing point of water is the result of an observation. It's just a fact (or a posteriori truth or knowledge or whathaveyou) that water has been observed to behave in a certain way under certain conditions.For instance, water may not freeze until 31F at some point in the future and so my (fictional) absolution of the "standard" freezing point of fresh water would turn out to be an assumed absolute, and untrue.
Could you say more about how or why they are necessary then (if their denial doesn't produce a contradiction)?Crosson said:Absolutes truths are those which are universal and necessary, but the denial of which does not produce a contradiction i.e. synthetic a priori truths.
In other words, "absolute" means simply "a true proposition" to you?Moridin said:If absolutes exist, then the fact that absolutes exists is an absolute. If absolutes does not exist, then the fact that absolutes does not exist is an absolute.
Truth does not depend on propositions. It is assigned to propositions. It is an object itself.madness said:Any assumptions (axioms of a system) are propositions themselves, and any truth within a certain model depends on these propositions and is hence relative to them.
Gödel's Incompleteness Theorem does not apply to every single system. (If it turns out that one set of axioms is correct (corresponds to reality?) and all others are incorrect, then it could be said that any proposition that can be logically derived from the axioms of the system is absolutely true. But then the Godel Incompleteness theorem shows that there are still propositions within that system that cannot be shown to be absolutely true or false by the axioms of the system. So even if there was one model of truth that was correct, we would not be able to show whether certain things are true or false.
honestrosewater said:How can something "turn out" to be assumed? An assumption can turn out to be wrong or right or undecidable, but it still is and was an assumption.
Again, what are absolutes?
absolute |?abs??lo?t; ?abs??lo?t| adjective
1 not qualified or diminished in any way; total : absolute secrecy | absolute silence | the attention he gave you was absolute. • used for general emphasis when expressing an opinion : the policy is absolute folly. • (of powers or rights) not subject to any limitation; unconditional : no one dared challenge her absolute authority | human right to life is absolute. • (of a ruler) having unrestricted power : he proclaimed himself absolute monarch. • Law (of a decree) final : the decree of nullity was made absolute. • Law see absolute title .
2 viewed or existing independently and not in relation to other things; not relative or comparative : absolute moral standards. • Grammar (of a construction) syntactically independent of the rest of the sentence, as in dinner being over, we left the table. • Grammar (of a transitive verb) used without an expressed object (e.g., guns kill). • Grammar (of an adjective) used without an expressed noun (e.g., the brave). noun Philosophy a value or principle that is regarded as universally valid or that may be viewed without relation to other things : good and evil are presented as absolutes.
• ( the absolute) Philosophy that which exists without being dependent on anything else.
• ( the absolute) Theology ultimate reality; God.
Right, I was referring to what you said here:baywax said:An assumption is a thing that is accepted as true or as certain to happen, without proof. When the proof becomes visible and apparent and proves the assumption to be untrue the assumption collapses.
That makes it sound to me like "assumed" is almost synonymous with "untrue". Deciding that a proposition is not true doesn't make it suddenly become an assumption; assigning it a truth-value or "proving" it without using your rules is what makes it an assumption.For instance, water may not freeze until 31F at some point in the future and so my (fictional) absolution of the "standard" freezing point of fresh water would turn out to be an assumed absolute, and untrue. [my emphasis]
honestrosewater said:Right, I was referring to what you said here:
That makes it sound to me like "assumed" is almost synonymous with "untrue". Deciding that a proposition is not true doesn't make it suddenly become an assumption; assigning it a truth-value or "proving" it without using your rules is what makes it an assumption.
The long list of meanings is what I am complaining about. When you allow a single string to have so many different meanings, how do you expect to have a productive or non-fallacy-ridden discussion?
I just reread the OP, and I guess they were actually quite clear in asking about certainty. In response to that, I'd ask in what ways you can be mistaken in assigning a truth-value to a proposition.
The assignment itself is nothing but a definition, and I can't see how exactly it could be wrong. The only area that I can think of where you can make mistakes is in comparing two worlds to each other, e.g., in determining how the world that you perceive, or measure in some way, differs from some supposed "realer" world, or subject of your measurements, or how some world in your memory differs from worlds that you once perceived, etc.
Haha, I love "egads".baywax said:Egads!
What are the properties of an absolute? This is still jabberwocky to me. In some of your examples above, you use "absolute" instead as an adjective to seemingly mean "complete".we are certainly able to identify absolutes today. But it is only out of our ignorance of the absolute's relationship with the rest of the universe and the future. Through the mechanisms of change (ie. time) the situations we declare as absolutes can only be proven to be absolutes for as long as they are observed to demonstrate the properties of an absolute.
honestrosewater said:And if you admit that this "absolute" might change in the future, or depends upon further observations, in what way is it "absolute"
That sounds like just an assumption to me.