Now the nature of infinity is an interesting topic to explore! — Real Gone Cat
What I think, is that we allow "infinite" so that we will always be able to measure anything. If our numbers were limited to the biggest thing we've come across as of yet, or largest quantity we've come across, then if we came a cross a bigger one we would not be able to measure it. So we always allow that our numbers can go higher, to ensure that we will always be able to measure anything that we ever come across. In that way, "infinite" is a very practical principle. — Metaphysician Undercover
But it may surprise you to know that many mathematicians today believe that actual infinite sets exist in math! — Real Gone Cat
The issue, as I see it, is that observational data and evidence should inform our philosophy. When there's a conflict, that's a signal that we need to check our premises. — Andrew M
Allows you to conclude p from Kp, but doesn't tell you whether Kp is true. It is indeed just a logical principle along the lines of modus ponens, which also can't tell you that your premises are true. Does that make modus ponens useless? — Srap Tasmaner
Then you didn't. Nobody's talking about infallibility here. You thought you did, you could've sworn it was today, whatever. But "I remember that I put my keys on the table," if true, entails that I did. No more than any other sort of statement, propositional attitude reports cannot vouch for their own truth. — Srap Tasmaner
It's poor philosophy to reject well-established facts about the world. — Andrew M
Yet again you repeat your false claim that is refuted by content of the posts. — TonesInDeepFreeze
You skipped what I wrote about that. That is your M.O., in true crank style: Skip responding to points that don't support your own position and instead just keep reiterating your position. — TonesInDeepFreeze
Ultrafinitism is usually defined as the belief that really large FINITE numbers do not exist because of constructive limits - what is physically realizable in the universe. And what does the OP posit? That there is a maximum number needed to describe the universe. Anything bigger doesn't need to exist. Did I get something wrong? — Real Gone Cat
First, as I've said ad nauseum, (with exceptions of figures of speech) mathematics doesn't have a noun 'infinity' but rather an adjective 'is infinite'. — TonesInDeepFreeze
Many mathematicians freely make use of infinite sets. — TonesInDeepFreeze
Stating my own argument about it.
Whether you reply to my statement of my argument about your contradiction is entirely your own prerogative. — TonesInDeepFreeze
And, since you seem now to be leaning toward a claim that I called you back to defend your argument, I withdraw my comment that I might have taken you too literally. — TonesInDeepFreeze
If I remember that today is Joe's birthday, then today is Joe's birthday. When I see that a package has been delivered, a package has in fact been delivered. If I regret leaving my car window down, it's down. — Srap Tasmaner
But I did not call on you, or call you back, to defend what you wrote not did I call on you, or call you back, to do anything at all. — TonesInDeepFreeze
But maybe what you meant is that you felt, upon your own sense that you should defend what you wrote. Not that, as you literally wrote that I called on you to do that. In that case, fair enough. If I should not have taken you literally, then you may consider my previous comments about now scratched. — TonesInDeepFreeze
If I should not have taken you literally, then you may consider my previous comments about now scratched. — TonesInDeepFreeze
You're putting words in my mouth again. — TonesInDeepFreeze
And now you're flat out lying about my posting. — TonesInDeepFreeze
Yes, your obfuscation seems to be inexhaustible. — TonesInDeepFreeze
Indeed your confused, ignorant and intellectually dishonest postings are a waste of your time, as you'd do so much better for yourself by reading a book on the subject. — TonesInDeepFreeze
I predict that now you'll write yet more rambling, obfuscatory paragraphs in which you elide your own posted words. — TonesInDeepFreeze
confused, ignorant, dishonest, rambling, obfuscations. — Metaphysician Undercover
I gave specific analysis, quoting you, and arranging my argument about it in conspicuously clear formatting. — TonesInDeepFreeze
ndeed your confused, ignorant and intellectually dishonest postings are a waste of your time, as you'd do so much better for yourself by reading a book on the subject. — TonesInDeepFreeze
I actually can't see the UNIVERSAL advantage of unifying objects and terms of measurement. Sailors still measure velocity in knots; Americans still measure weight and volume in ounces and gallons and pounds. If there were an advantage to unification, everyone would be using the same system, and yet we don't. — god must be atheist
Rather, no matter how you define it, you contradicted yourself about it, as I quoted you doing that. — TonesInDeepFreeze
I said that snow was white 200,000 years ago, as scientists would tell us. That's common knowledge - if you disagree, perhaps you could provide a scientific source. — Andrew M
Said of a bit of language, generally a request for different words amounting to the same thing, but more readily understood by the audience. — Srap Tasmaner
I am resolved, and what I said was said in all seriousness. Closely related to
(6a) He didn't mean it.
(6b) You don't mean that.
Speech that should not be taken at face-value, as serious and honest, and suggesting it was said with some other purpose than honest expression. Also a wish that this is the case.
(7) That's not what I meant.
(i) I spoke with one meaning in mind, but you interpreted my words as having another. (ii) I spoke with a particular intention, but you took me to have another. Occasionally part of an acknowledgement that my speech was ambiguous.
(8a) I meant to ...
(8b) I didn't mean to.
(8c) I meant to do that. — Srap Tasmaner
Yes, your obfuscation seems to be inexhaustible. — TonesInDeepFreeze
So which should we take to be the highest number we allow?
Mathematics should be limited to only the numbers you will personally allow? — TonesInDeepFreeze
I take it that you don't take it that the only objects are abstractions, because you went on to say why you don't take it that the only objects are abstractions. — TonesInDeepFreeze
Or, are you now saying that the only objects are abstractions? — TonesInDeepFreeze
Yes, I knew you would reply by shifting back around again from your own words but pretending that you haven't. This will go on indefinitely with you, as you play a silly game that is the forum equivalent to a child's peek a boo. — TonesInDeepFreeze
So I take it that restricting 'object' to refer only to abstractions is not acceptable to you. Thus, indeed you do not agree that abstractions are objects. Thus, indeed you contradict yourself when you also said: — TonesInDeepFreeze
"I cannot agree that abstractions are objects" is tantamount to "abstractions are not objects".
"We restrict 'object' to refer only to abstractions" is tantamount to "only abstractions are objects".
So what you said is tantamount to: Abstractions are not objects unless only abstractions are objects. But you also deny that only abstractions are objects. Thus you affirm that abstractions are not objects. — TonesInDeepFreeze
Not at all. Just like a 'race' is any kind of activity which has a start, a finish, and some competitive element, a 'belief that the pub is at the end of the road' is any mental arrangement which results in a tendency to go to the end of the road when wanting to get to the pub. — Isaac
So truth is about how language is used, and far wider than just reference. — Banno
Since the world is all that is the case, there is no escape from our language games. — Banno
But I might go so far as to say that the exact circumstance in which it is correct to deem that "the kettle is boiling" is true are that the kettle is boiling... — Banno
Yes, but naming it doesn't affect what it is. 200,000 years ago, snow wasn't named "snow", and the color white wasn't named "white", yet snow was still white. At least, so the scientists tell us. — Andrew M
Redundancy doesn't reject realism, nor need it be relativistic. You might say, as I do, that some hidden state constrains our neural models of it. You might also say, as I would, that we have an interest in those neural models being at least similar in function so that we can cooperate over manipulating those hidden states. You might also say that language is used (among other things) as a tool to this end. But since all of this goes on subconsciously, most of the time, and, most importantly, those putative 'hidden states' are simply hypothetical matters used in a scientific model of how brains work, there's simply not a mechanism by which they can act as truth-makers for sentence in English, without being entirely subsumed by simply 'the kettle is black'. — Isaac
Indeed, you need it to be raining. Which is already to interpret the world, to use language.
That is, for "it is raining" to be true, it needs to be raining.
Which is the exact point made by the T-sentence.
SO what, if anything, is our disagreement? — Banno
P1: if God exists, nonresistant nonbelievers would not exist
P1: nonresistant nonbelievers do exist
C: God does not exist
Defense of P1:
A relationship with God would be the highest good in the world if God exists, and God would want to, and have the power to achieve this good. The reason this is the highest good is the same reason why any relationship is good, (because it is intrinsically good, or mutually beneficial etc.) And surely a relationship with good would be the best relationship of all. — aminima
Really? Not the belief that bikes are for riding? The belief that one sits on the saddle and pushes the pedals? That the brakes are for stopping? ... We've no idea at all what beliefs people might have? — Isaac
Why? Not all Oak trees are the same, that doesn't suddenly raise problems with us deciding that some trees are more similar to each other and calling that group 'Oaks'. But knowing you I expect you've got some problem with that too. — Isaac
Well there's our first mistake then. 'Honesty' is the good and honourable thing. 'Truthfulness' is a game used to convince people your beliefs are better than theirs. Often honourable, often not. — Isaac
I don't have any trouble with a neural correlate for beliefs - "tendency to act as if", seems to work. If your neural network has a tendency to act as if X then we can say it has a belief that X. It's a bit of a bastardisation, but I think it's not too unfair to the proper meaning. — Isaac
So, the mental, if prior to its outward expression, cannot be dependent on the outward expression. And this is why the issue is thorny. Being independent from its outward expression, means that there is no necessary relationship between the mental and its outward manifestation. The outward manifestation therefore does not necessarily provide a reliable representation of the mental. That's the problem, and why dishonesty may be allowed to thrive. — Metaphysician Undercover
You and I both know how to ride a bike, but the proof of this has nothing to do with our having similar neural paths in our brains, and everything to do with not falling off. — Banno
The question was why associating the meaning of the word 'truth' with a pragmatic concept of utility caused this increase in deception. — Isaac
Are people more able to deceive you because they can use the word 'truth' to describe their most pragmatic models. If we banned them from using the word that way, would they somehow be shackled in their deception? — Isaac
I agree, if there wasn't some outward manifestation of the mental, then what would a mental life entail? Even if we exclude language, what's mental would have to seep out in some outward act (linguistic or otherwise). The mental, in order for us to call it mental, has to manifest itself in some way. We could say the same thing for what it means for something to be conscious. — Sam26
It wasn't a rhetorical question. — Isaac
How so? — Isaac
Surely if two of you (assuming even one of you is right) can be wrong about how minds work as a result of their introspection of their own mind, then introspection delivers both wrong as well as right impressions of how your own mind works, about two thirds of the time, at least? — Isaac
So if introspection delivers both correct and incorrect answers as to how the mind works, what motivates the methodology here? By what means do you propose the results of introspection are tested to see which are right and which are wrong? More introspection? That's just going to deliver about the same proportions of right and wrong answers. — Isaac
I think going into this would derail the thread. — fdrake
And the problem with that would be...? — Isaac
To the extent our model of the world is "true" – pragmatically useful – we gain power over the entropy flows of our environments and can bend them to our collective will. — apokrisis
So it seems to me at least that he doesn't endorse the correspondence theory but does endorse the Aristotelian theory, which he thinks of as different. — Michael
Considering everything that's been discussed, I think the focus on truth is a red herring. We take as a starting point "snow is white" is true iff p and then argue over p. I think we should instead take as a starting point snow is white iff q and then argue over q. — Michael
And the final step is to say that the shared model we each access just is the neighbourhood. — Banno
Ah, I see you have already done some critique. Excellent. Here you move towards my view; that there is no model. — Banno
It seems, then, that the models must have something in common if they are to be considered models of the neighbourhood. We must be able to say that this house, in one model, is the same as that house, in the other. There must be some basis for our being able to translate between the models, if we are to say they model the neighbourhood. — Banno
And the final step is to say that the shared model we each access just is the neighbourhood. — Banno
I said "and", not "or". It must have both internal logic and consistent reasoning given as set of premises, but these premises need not be strictly true. If the internal logic is faulty, it cannot be rational even with consistent reasoning given a set of premises according to my definition. — ToothyMaw
I do not deny this. I'm saying that if we are talking about someone actually being rational and making a rational decision, they must eliminate all other possibilities because of reasoning - even if that reasoning is faulty. — ToothyMaw
And what is rational could change and it would be relevant up until a course of action is selected. But while actions are limited by our intent to act rationally, act a is not free, or every action becomes rational. — ToothyMaw
I am discussing what is the case in a perfect instance of rational decision making. Considerations of whether or not humans make decisions irrationally is irrelevant. — ToothyMaw
Perhaps, but one need not consider every possible irrational course of action to come up with one that is while deliberating. I didn't say that p represents all irrational courses of action, but rather those considered. And even if one does not consider many irrational actions because irrational people don't think before acting, and thus are acting irrationally, people almost always deliberate and consider multiple courses of action if they are acting rationally. — ToothyMaw
a. Humans are somewhat inherently rational and take some actions based upon reasoning and internal logic.
b. A rational action a need only have internal logic and consistent reasoning given a set of premises g to be rational to an actor x.
c. The reasoning supplied for the action a of actor x must necessarily preclude all otherwise possible courses of action p, which contains both rational and irrational decisions, based upon reasoning and/or considerations of internal logic.
d. If actor x has free will, they can choose combinations of courses of action that are subsets of p that are not otherwise available to actor x even with the intent to act rationally.
e. By necessity, all actions p + a that are considered with the intent to act rationally and those that are precluded by reasoning/faulty logic must be rational or action a is unfree depending upon whether or not free will exists.
f. If all actions p + a are to be deemed rational or not based upon merit, then each's premises must be differentiated in terms of subsets of the collection of infallible premises q. — ToothyMaw
Going around in circles isn't helping at all. — Banno
I also like this theory of truth quite a lot. I think that it accurately describes how we use the word "true", and avoids distinguishing between "What I think is true" and "What IS true". I don't see how we can know objectively what IS true, and I'm not even convinced that we even want to know what IS true. I also think that mindfulness and meditation can contribute to our understanding of truth. I think that meditation offers me a chance to experience the fundamental building blocks that everything else derives from, and any theory of truth must start from the meditative state of mind. — IntrospectionImplosion
You get the idea. The truth flip flops with each revision. — Banno
. I reasoned to myself there's something fundamentally wrong with statements like p & ~p. It's snowing AND it's not snowing is "wrong" for the reason that the the second conjunct denies/negates the first - they cancel each other out and its as if someone who utters/writes a contradiction says nothing at all (+y + -y = 0]. — Agent Smith
There's nothing in reality that is internal nor external; there's just the stuff we talk about. — Banno
And yet, they are correct. I mean, you would not disagree that ('p' is true IFF p), would you?
So their use might be in providing some sort of grounding in relating meaning to truth. — Banno
Now, if you folk could just agree as to where I am wrong... — Banno
1. "p" is X iff p
Does (1) tell us the meaning of "X"? If not then the T-schema doesn't tell us the meaning of "true". It sets out the condition under which "p" is true, but nothing more.
This, perhaps, is the point Sam26 makes when he says that the T-schema is irrelevant? — Michael
And, as I've mention before, this highlights the fact that Tarski didn't offer the T-schema as a definition of truth, but as a consequence of a correct definition. As I mentioned here, we still need an actual definition of "true". — Michael
So instead of stating any one person is, "right" or "wrong", or even that it doesn't matter which is which, we can further simplify this by stating that there is is no right or wrong. There is merely that position which is different from another and is subject to change. — Universal Student
↪Metaphysician Undercover equates truth and honesty, which is to mistake the logic of truth for its illocutionary force. — Banno
