This sort of seems inevitable to me. What kept POMO on the left in the first place? The relativism it allows for allows it to be reformulated in right wing terms quite easily. — Count Timothy von Icarus
↪Tom Storm There was the famous Sokol affair, where a postmodern journal published an article arguing that quantum gravity was a social construct.
Unbeknownst to the publishers it was satire, exposing the lack of scientific rigor of the postmodernist.
Not sure they've fully recovered from that — Hanover
↪Joshs I respect many of your views, but:
But it is one thing to claim that they ignore or distort facts , it is quite another to assert that they have taken radical relativists to heart and think that there are no correct facts. [...] They tend to be metaphysical, or naive, realists about both ethical and objective truth.
— Joshs
How is that not blatantly incongruous (this in non-dialetheistic systems, if it needs to be said)? — javra
↪Joshs
As if we haven’t already heard plenty from the likes of Sokal. Reactionary anti-postmodernist chatter from mathematicians , scientists and politicians is no less common than pomo investigations of mathematics.
— Joshs
Yeah, what would mathematicians know about maths — Banno
The article I shared was about as sympathetic as you might expect, and more than I expected. It takes an example from the literature,
Absolutism is deliberately replaced by cultural relativism, as if 2 + 2 = 5 were correct as long as one’s personal situation or perspective required it to be correct
— White 2009,
...and points out that
First of all, cultural relativism is out of context in this setting. When postmodernists claim that a mathematical truth is never absolute, they mean it is to be interpreted relative to a background. Certainly 2 x 5 = 1 is true in mod (3) arithmetic. No sane mathematician or educator would go around redefining addition or any other mathematical construct because his or her “personal situation” requires it to be correct. — Banno
“I can manipulate symbols without animating them, in an active and actual manner, with the attention and intention of signification…Numbers, as numbers, have no meaning; they can squarely be said to have no meaning, not even plural meaning. …Numbers have no present or signified content. And, afortiori, no absolute referent. This is why they don't show anything, don't tell anything, don't represent anything, aren't trying to say anything. Or more precisely, the moment of present meaning, of “content,” is only a surface effect.”
Wittgenstein’s early conception of meaning and his commitment to Logical Stoicism drove him to rid the arena of truth and logic of all human interference, which required that the states-of-affairs asserted or denied by a proposition be completely delineated, as we saw with the questions concerning whether the book was still on the table under all possible circumstances. He gave up this dream when he recognized our ineliminable role in
applying the rules. No matter how assiduously we strive to passively obey a rule, we still need to make the phronetic judgment call as to whether this state-of-affairs counts as an instance of the rule: “if calculating looks to us like the action of a machine, it is the human being doing the calculation that is the machine.”
We feel that all possibilities are settled in advance because we rarely step outside the normal circumstances where our footing is so sure we imagine it to be perfect. Wittgenstein spends considerable time constructing scenarios that throw our intuitions out of whack and leave us uncertain about what to say. This doesn’t expose a disturbing, problematic gap in our everyday usage, but rather shows that we get along fine without the propositional omniscience he had previously found necessary. Without meaning-objects’ applications coiled up, as it were, within words or the mind like a retractable measuring tape, Wittgenstein now sees each application as metaphysically unguaranteed by past instances.
“We must not suppose that with the rule we have given the infinite extension of its application. Every new step in a calculation is a fresh step. . . . It is not in the nature of 23 and 18 to give 414 when multiplied, nor even in the nature of the rules. We do it that way, that is all.”
No matter how clearly the world seems to take us by the hand and lead us, it is always up to us to recognize its authority and interpret its commands; neither past usage nor reality forces us to go on in one particular way. We will never get to the other side of the ellipsis of “and so on . . .”—not because of our all-too-human limitations, but because there is no other side; that’s the point of an ellipsis.
Since the notion of infinite extensions occurs paradigmatically in mathematics, Wittgenstein spends a great deal of time on this subject, originally planning part II of the Philosophical Investigations to focus on it. Just
as linguistic meaning occurs in our use of it, so mathematics only exists in our calculations, which means that
“there is nothing there for a higher intelligence to know—except what future generations will do. We know as much as God does in mathematics.”
Mathematics and grammar are inventions, not discoveries. As Simon Glendinning writes, each new application of a rule “is ungrounded or structurally abyssal. That is, it is logically prior to a determined rationality (or irrationality).”Without timeless mathematical truths, the notion that humanity has always followed a rule incorrectly is simply incoherent: how we follow it is the right way. “The point is that we all make the SAME use of it. To know its meaning is to use it in the same way as other people do. ‘In the right way’ means nothing.”This seems to entail the worrying possibility that if everyone began, say, adding differently—getting “6” from “2 + 3,” for example—then that “wrong” practice would become “right”, but this concern hasn’t followed the argument all the way out.
If we see this “new” way as maintaining the same rule of addition we have always used, then it isn’t new at all. If no one (except a few cranks) judges a change to have occurred then we have no ground to say that a change
has occurred. It isn’t so much that our notion of green may turn out to be grue as that, if we all “change” from green to grue without noticing it then no change has taken place—and scare quotes proliferate. If a tree changes color in the forest and no one realizes it, then who exactly is claiming that it changed? We imagine God sadly shaking his head at our chromatic apostasy, but the only way for this picture have an effect would be for Him to make His displeasure known—which would mean, in turn, that someone did notice. Alluding to the most famous modern discussion of skepticism, Wittgenstein asks:
“is no demon deceiving us at present? Well, if he is, it doesn’t matter. What the eye doesn’t see the heart doesn’t grieve over.”
A deception, carried out perfectly, becomes truth.
Maybe there is a post-modern argument to be made that these social or historical factors shouldn't be ignored as much as they are (that said, historical analysis of mathematical concepts seems quite common in mathematics books I've read). But we aren't fixing anything with its own axioms, we are studying what happens, given we provisionally accept some axioms. This to me seems like a distinct difference. — Count Timothy von Icarus
Then, finally, a huge swath of the public did start taking their critiques seriously, but it tended to largely be the far-right of the political spectrum who did this. "Who funds this research? Who stands to gain financially? What are the power relations in the field? What are the socio-historical factors influencing theory?"
These finally became areas of core focus, but ironically the goal of the critiques became things like denying climate change and denying that vaccines were beneficial. — Count Timothy von Icarus
How does one organize previous interactions? Surely, it's only an image, memory or concept of them that can be organized - presumably for reference. Organize, how? Form a mental model? Classify as to type? How does this process differ from describing the interactions themselves and deducing natural laws? — Vera Mont
. In my dictionary, a "presupposition" is
a thing tacitly assumed beforehand at the beginning of a line of argument or course of action
i.e. that which has not yet been observed and analyzed — Vera Mont
↪Tom Storm I suspect that postmodernists talking about mathematics woudl be a dime a dozen. Google supports this.
But a mathematician talking about post modernism... that might be interesting. — Banno
This leads me to think that social constructivism/constructionism is not necessarily postmodern in the philosophical sense, even if these distinct approaches are lumped together in the popular imagination.
EDIT: And note that the theory discussed in that paper is based on the social construction theory of John Searle, not usually regarded as a postmodernist. — Jamal
Are they merely descriptions, or are they presuppositions concerning what things are and how they behave?
— Joshs
You can't pre-suppose the world. Maybe a creator god can, but humans are in and of the world. They can't suppose anything that they don't already know something about — Vera Mont
The "laws of nature" are just descriptions of how things behave.
Perhaps you meant to ask why things behave the way they do, or why their behaviour is consistent? — Michael
I would reflect on the Bodily feeling presently "occurring" or released (?) during what one might interpret as anger or as hatred. Presumably, both would be felt as, for lack of a better word, "unpleasant," subject to possible varying degrees or subtle undectable differences (if any. maybe degree of unpleasantness is the only difference) — ENOAH
. The deflationary theories of truth that came out of undecidablity, incompleteness, and undefinablity seem in the same wheelhouse (more an inspiration for POMO, or ammunition for it, than possible targets) — Count Timothy von Icarus
↪Joshs Does that to you then imply that something like 1 + 1 = 2 is constructed within specific culture contexts, such that the quantity "1" is arbitrary rather than ubiquitously universal? — javra
They may question whether mathematical concepts truly represent universal truths or if they are constructed within specific cultural contexts.
— Tom Storm
struck me as inherently plausible as a PM position, but inherently implausible as a serious position per se. Im not sure how it could be argued that natural numbers, for instance, are culture-bound as a concept. — AmadeusD
↪Joshs
So what would Thompson consider to be the difference between his valid thematic and Augustine’s valid approach? It can’t simply be that they contradict each other, since everything exists in a state of contradiction with respect to everything else.
He might say that Augustine’s self-contradicting thematic approach unfolds more slowly and ploddingly than his own, and he prefers approaches that transgress into new territory more aggressively since they bring him pleasure and a richer sense of meaning. We could say Thompson swaps out the ethical notions of refutation , truth and falsity for fast vs slow speeds of transformation.
Again, he might say it, but he'd have no justification for it. For it would be equally valid to say that it is Augustine's approach that unfolds more quickly and with more agility than Thompson's, traversing greater depths of creative space. But presumably, in choosing to advance his interpretation, and in choosing to label it "pragmatism," Thompson does not think his speculations are simply equally pragmatic and unpragmatic, worthwhile and not worthwhile, when compared to all other possibilities. — Count Timothy von Icarus
We find the world, but only in the many incommensurable cognitive domains we devise in our attempt to know our way around. The task of the philosopher is not to extract a common conceptual scheme from these myriad domains and to determine its faithfulness to some uncorrupted reality; it is, rather, to learn to navigate among the domains, and so to clarify their concerns in relation to each other.
Anger is a manifestation of our own failure to find a more productive expression, one which solves the problem. The problem is, the proximate cause is not always the only - or the real - problem — Pantagruel
The point is, you can't reduce anger to a logically valid behaviouristic framework. Human interactions are "overdetermined" to use psychiatric jargon — Pantagruel
↪Joshs a
Absence of emotion is an interesting area. In particular, the philosophy and spectrum of autism, raises this question. However, if does come down to what the absence of emotion signifies. Is it about being overwhelmed by the conflicts of the dichotomy of emotion. — Jack Cummins
One can become angry, yet not allow anger to dictate or motivate one's responses. Becoming angry does not entail displaying anger. I guess anger could be viewed as a "motivational challenge". — Pantagruel
Anger can be legitimate and yetq still unhelpful. It can be a source of strength, courage, and motivation, but only if effectively sublimated. — Pantagruel
Would the absence of emotion and anger lead to indifference, and a consequent philosophy of ideas of indifference? — Jack Cummins
Discussions on the philosophy forum often deteriorate into angry exchanges. In those cases, anger is counter-productive to philosophy — Pantagruel
where human emotions come from is also an important question. Emotions, and the instinctual aspects of human life may go back to the instinctual aspects of physiology. This is about lower and higher needs, as suggested by Maslow's in his hierarchy of needs. — Jack Cummins
↪Joshs I'm of the opinion it's determinate of the person venting, regarding a strong or weak will. One can be angry at things that can't apologize. — Vaskane
↪Joshs If one does not feel the effects of their power from venting, perhaps. Which, one's power tends to be easily felt, in the midst of an apology — Vaskane
Hatred leads to formulated values? Anger is something the rises up, and can be overcome upon venting. — Vaskane
In some ways, anger may be seen as something to be overcome emotionally, or as an idea,or frequency. How does it stand in connection with philosophical ideas and ideals of love and hatred? — Jack Cummins
One could say it, but whether or not they would nonetheless be contradicting Augustine's standpoint is another matter. If I claim that "truth is absolute," and you in turn claim that "yes, truth can be absolute, but only ever relatively," this seems more like negating my claim than "subsuming" it. Further, the claim that "truth can be absolute, but it is only ever absolute in relative terms, based on presuppositions that are taken-for-granted, and people can always accept multiple equally valid, but different presuppositions," itself appears to be an absolute statement about truth to the effect that "there can be no absolute statements re truth." So aside from contradicting the position it claims to still affirm, it also refutes itself — Count Timothy von Icarus
if we are to embrace a position like Thompson's we must have some way of determining between it and Saint Augustine's formulation that "truth is equivalent with being; what is true is, and what is false is not." To say that Thompson is right is to say that Augustine is wrong. To say that they are both right, is still to say that Augustine is wrong. — Count Timothy von Icarus
All validation cannot depend on metaphysics, and metaphysics in turn necessarily be based on unquestionable presuppositions we take for granted. If this were the case, then all judgements re validation/truth/accuracy etc. would be equally valid, merely a matter of which presuppositions we have embraced — Count Timothy von Icarus
This is what makes paradigm shifts revolutionary rather than evolutionary.
— Joshs
Can you elaborate on this evaluation? Why could a paradigm shift not be both? — Pantagruel
↪Gnomon I'm closer to saying that there is no metaphysical speculation; it is rather metaphysical imagination. We speculate only about that which might later be confirmed or disconfirmed. — Janus
Much of metaphysics consists in playing dialectically with language—what if such and such (such and such that is the dialectical opposite of what we actually encounter) is really the case.
For example, we appear to be mortal...but...what if we are really immortal? We appear to be finite intelligences...but... what if there is an infinite intelligence...and further what if that is our real nature? We appear to encounter only the physical...but...what if what appears physical is really mental? And so on. — Janus
↪Joshs
Perhaps my stance appears to be an unquestioning taking for granted because it appears so alien to your way of thinking. But I continually question everything about my philosophy.
It doesn't seem unquestioning at all. I was referring back to your statement that: "only within a taken-for-granted , unquestioned set of normative presuppositions concerning the nature of the real can empiricist notions like proof and validation be considered as definitive."
I am having trouble understanding how validation, proof, evidence, demonstration, etc. can rest only on what is taken-for-granted. If this was true, I don't get how radical relativism and skepticism wouldn't follow. Epistemology can be circular and falliblist, but it cannot be arbitrary without epistemic pessimism seeming to take hold. — Count Timothy von Icarus
I would give up both realism and anti-realism, then, in favour of what could be called a pluralist pragmatism. What the pluralist insists on is that there is no foundational version, one which anchors all the rest or to which all others can be reduced. The pragmatist insists that the world is both found and made: it is made in the finding and found in the making.To erase the boundary between knowing a language and knowing our way in the world gives us a fresh appreciation of the world. That world, however, is not given, waiting to be represented. We find the world, but only in the many incommensurable cognitive domains we devise in our attempt to know our way around. The task of the philosopher is not to extract a common conceptual scheme from these myriad domains and to determine its faithfulness to some uncorrupted reality; it is, rather, to learn to navigate among the domains, and so to clarify their concerns in relation to each other.
One might find metaphysics to be a confusing mess and accept no metaphysical theory, and yet still find statements about truth and falsehood intelligible and use them effectively in their daily lives — Count Timothy von Icarus
Right, and this is validation of what? Validation that something is or is not the case. Or in more fallibilist terms, that something appears or does not appear to be the case. But what is broadly meant by "appears true or false" is precisely that something appears to be the case. This difference just seems like semantics — Count Timothy von Icarus
But is such "making sense" necessarily based on unquestionable presuppositions that must be taken for granted? Fallibilism, allowing for uncertainty, is not self-refuting, but the statement that all claims are ultimately arbitrary appears to be. I couldn't really tell which you were advancing here. Is "all [you] can say is that [your] way of construing matters has continued to be relatively consistent," because the only thing that can be known is the contents of your own past experiences (in which case, why even trust your own memory?) Or is this simply a claim about how we can always be surprised by the future — Count Timothy von Icarus
I am aware of the existence of para-consistent logic. I would not call that metaphysics, I would not even say that it hinges on metaphysics. It is simply a different syntax — Lionino
In his Remarks on the Foundations of Mathematics Wittgenstein tells us that it is his aim "to alter the attitude to contradiction." We should lose the superstitious fear of contradiction and cease to think of it as the bogy. He writes:
There is one mistake to avoid: one thinks that a contradiction must be senseless: that is to say, if c.g., we use the signs ‘p’, ‘n’, ‘.’ consistently, then ‘p and not p’ cannot say anything.
When Wittgenstein poses the question of whether the law of non-contradiction is a fundamental law governing all conceivable language-games, his answer appears to be negative. Although a language-game may lose its sense through a contradiction, this need not necessarily be the case. Wittgenstein imagines several situations in which a contradiction would have a definite function and sense.
Consider the following three cases:
Why should not a calculation made for a practical purpose, with a contradictory result, tell me: "Do as you please, I, the calculation, do not decide the matter'?
The contradiction might be considered as a hint from the gods that I am to act and not consider.
Let us suppose that a contradiction in an order ... produces astonishment and indecision-and now we say: that is just the purpose of contradiction in this language game.
Whether these be actual or merely possible uses of a contradiction is a matter of no consequence.
Wittgenstein's point is that a contradiction may be given a use and hence acquire a sense. Our use, or lack of use, of the expression ‘p and not-p’ is no sure indicator of the necessity of erecting a "super-fence" around contradiction.
These suggestions concerning contradiction seem to constitute a special case of Wittgenstein's more general thesis in the Remarks and, to some extent, the Philosophical Investigations' that logical rules, although made necessary by human convention, are suggested by contingent facts of experience. If these facts and/or our purposes were different, we might engage in entirely different language-games.
Every human has some conception of truth or falsity, even if they have never spent much time pondering metaphysics. There is a naive sense of true and false that is endemic to the human experience — Count Timothy von Icarus
Do we infer the unperceived existence of what we perceive from the nature of our experience? If so, how? If not, why not?
Can anyone point me in the right direction as I have no idea how to help her? — OwenB
… there belongs to every external perception its reference from the "genuinely perceived" sides of the object of perception to the sides "also meant" not yet perceived, but only anticipated and, at first, with a non-intuitional emptiness (as the sides that are "coming" now perceptually): a continuous protention, which, with each phase of the perception, has a new sense. Furthermore, the perception has horizons made up of other possibilities of perception, as perceptions that we could have, if we actively directed the course of perception otherwise: if, for example, we turned our eyes that way instead of this, or if we were to step forward or to one side, and so forth. In the corresponding memory this recurs in modified form, perhaps in the consciousness that, instead of the sides then visible in fact, I could have seen others naturally, if I had directed my perceptual activity in a suitably different manner.
Moreover, as might have been said earlier, to every perception there always belongs a horizon of the past, as a potentiality of awakenable recollections; and to every recollection there belongs, as a horizon, the continuous intervening intentionality of possible recollections (to be actualize on my initiative, actively), up to the actual Now of perception. Everywhere in this connexion an "I can and do, but I can also do otherwise than I am doing" plays its part without detriment to the fact that this "freedom", like every other, is always open to possible hindrances. The horizons are "predelineated" potentialities…. the die leaves open a great variety of things pertaining to the unseen faces; yet it is already "construed" in advance as a die, in particular as colored, rough, and the like, though each of these determinations always leaves further particulars open.” (Cartesian Meditations)
Like we assume any viewpoint has metaphysical presuppositions, but then the validity of those presuppositions is ultimately borne out...in a metaphysical sense. In other words, a metaphysical theory is consequential… having a theory about the nature of reality (if it is accurate) ought to prove useful in some way, or lead in some direction. So I'd say metaphysics is about the relationship between our understanding of reality and reality. — Pantagruel
What do you think about the placement of logic outside the circle of metaphysics?
— Joshs
Valid, no metaphysics can make a married man a bachelor. — Lionino
But the most salient is that metaphysics is about what is real. — Pantagruel