Back to The History of Western Philosophy again, and within is written of Immanuel Kant's antinomies, of which Kant alleges four principal ones, which are imagined to be examples of mutually contradictory statements being simultaneously true; and this being known by the method of thesis, antithesis, synthesis, which is apparently of prime importance for the thought of Hegel also, and onwards to Karl Marx amongst others. What Kant's particular antinomies are is irrelevant; it is the principal or notion of mutually contradictory statements being true that is the essence of the matter. So to look at what this involves.
Two plus two equals four.
Two plus two does not equal four.
The first statement we describe as true, because meaningful language rests upon a foundation of being true, a foundation which does not even need formulating since it is the necessary and natural faith inescapably bound up with the use of language. And so the second statement is false. The two statements cannot both exist as truths. However Kant and his successors claim otherwise; that statements can contradict each other. How is this possible? Upon what would this idea of language rest?
It rests upon language and truth not being inseparable, and so the "contradictions" are not in fact contradictions but equally valid, since there is no truth which they contradict. It is to treat words as lumps of matter which can be placed in whatever order one wishes and the results are equally valid, all equally sensible or senseless. This would imply and necessitate the demolition of the entire notion of language as meaningful, since something and its contrary are alleged to both be capable of meaningful co-existence. But this meaningful co-existence is dependent on language not being meaningful but meaningless, since if it is meaningful then one cannot have coherent contradictions within that language. Language cannot be used in a self-contradictory manner and remain an instrument of truth. Such contradictions are violations of the nature of language, and will be found to be merely an erroneous use of that language. Also Kant's whole notion of the antinomy is entirely self-contradictory: an attempt to be a true statement of language, while the very statement inescapably implies that language is not true. If the antinomy is true then language is not true, and so the antinomy is not true. It is a perfectly senseless, and so unreal, use of language.
The notion of building a philosophy of truth upon the notion of the non-existence of truth is clearly ludicrous, where according to the implied logic of any sequence of words being as good or bad as any other, one could build this entire philosophy and then with a final flourish claim that the contrary to all this is also true, i.e. that it is not true - gibberish having been sanctified. However for this notion of language's meaninglessness to be sensibly be formulated in the first place requires the acceptance that language is meaningful; one is trying to use language meaningfully. So all in all Kant and his successors are trying to build an edifice upon completely self-contradictory and delusional grounds. How one could use the truth tool of language all one's life while remaining ignorant as to its essence is particularly lamentable for a philosopher.
I look at Kant's first antinomy, The World Has a Beginning in Time, here.