A Quote by Jean le Rond d'Alembert

There are only two kinds of certain knowledge: Awareness of our own existence and the truths of mathematics. — © Jean le Rond d'Alembert
There are only two kinds of certain knowledge: Awareness of our own existence and the truths of mathematics.
There are several kinds of truths, and it is customary to place in the first order mathematical truths, which are, however, only truths of definition. These definitions rest upon simple, but abstract, suppositions, and all truths in this category are only constructed, but abstract, consequences of these definitions ... Physical truths, to the contrary, are in no way arbitrary, and do not depend on us.
...Every single one of us goes through life depending on and bound by our individual knowledge and awareness. And we call it reality. However, both knowledge and awareness are equivocal. One's reality might be another's illusion. We all live inside our own fantasies, don't you think?
To answer oppression with appropriate resistance requires knowledge of two kinds: in the first place, self-knowledge by the victim, which means awareness that oppression exists, an awareness that the victim has fallen from a great height of glory or promise into the present depths; secondly, the victim must know who the enemy is. He must know his oppressor's real name, not an alias, a pseudonym, or a nom de plume!
There are different kinds of truths for different kinds of people. There are truths appropriate for children; truths that are appropriate for students; truths that are appropriate for educated adults; and truths that are appropriate for highly educated adults, and the notion that there should be one set of truths available to everyone is a modern democratic fallacy. It doesn't work.
There are two kinds of truth. There are real truths, and there are made up truths.
There are also two kinds of truths: truth of reasoning and truths of fact.
Mathematics is a body of knowledge, but it contains no truths.
IGNORAMUS, n. A person unacquainted with certain kinds of knowledge familiar to yourself, and having certain other kinds that you know nothing about.
Sense-perceptions can only be indirect knowledge, and not direct knowledge. Only one's own awareness is direct knowledge.
This must be our belief when we have a correct knowledge of our own self, and comprehend the true nature of everything; we must be content, and not trouble our mind with seeking a certain final cause for things that have none, or have no other final cause but their own existence, which depends on the Will of God, or, if you prefer, on the Divine Wisdom.
Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.
The only truths we can point to are the ever-changing truths of our own experience.
There are also two kinds of truths: truth of reasoning and truths of fact. Truths of reasoning are necessary and their opposite is impossible; those of fact are contingent and their opposite is possible.
All those formal systems, in mathematics and physics and the philosophy of science, which claim to give foundations for certain truth are surely mistaken. I am tempted to say that we do not look for truth, but for knowledge. But I dislike this form of words, for two reasons. First of all, we do look for truth, however we define it, it is what we find that is knowledge. And second, what we fail to find is not truth, but certainty; the nature of truth is exactly the knowledge that we do find.
Outside of mathematics and logic, there are common sense truths, such as that it is snowing that normal observers, in a specified context can agree on, subject to vagueness considerations, and theoretical truths, such as that snow is crystallised water vapour, and maybe in-between truths.
There are two kinds of writers; the great ones who can give you truths, and the lessor ones, who can only give you themselves.
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