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But the concepts mean different things, i.e., an analytic proposition is not always a self-evident proposition. [further explanation needed] Provided that one understands and believes a self-evident proposition, self-evident propositions are not in need of proof. Likewise, that their denial is self-contradictory does not need to be proven.
A truism is a claim that is so obvious or self-evident as to be hardly worth mentioning, except as a reminder or as a rhetorical or literary device, and is the opposite of a falsism. [1] In philosophy, a sentence which asserts incomplete truth conditions for a proposition may be regarded as a truism. [2]
Begriffsschrift (German for, roughly, "concept-writing") is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that book.. Begriffsschrift is usually translated as concept writing or concept notation; the full title of the book identifies it as "a formula language, modeled on that of arithmetic, for pure thought."
The work contains almost no arguments as such, but rather consists of declarative statements, or passages, that are meant to be self-evident. The statements are hierarchically numbered, with seven basic propositions at the primary level (numbered 1–7), with each sub-level being a comment on or elaboration of the statement at the next higher ...
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit ...
Such as these are self-evident truths in the field of moral conduct which any sane person will admit if he understands them. According to the Scholastics, the readiness with which such moral truths are apprehended by the practical intellect is due to the natural habit impressed on the cognitive faculty which they call synderesis.
I have a dream that one day this nation will rise up and live out the true meaning of its creed: 'We hold these truths to be self-evident: that all men are created equal.' I have a dream that one day on the red hills of Georgia the sons of former slaves and the sons of former slave owners will be able to sit down together at a table of brotherhood.
According to Ross's intuitionism, we can know moral truths through intuition, for example, that it is wrong to lie or that knowledge is intrinsically good. [16] Intuitions involve a direct apprehension that is not mediated by inferences or deductions: they are self-evident and therefore not in need of any additional proof. [19]