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  1. 1 Studia Philosophiae Christianae

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  1. 1 Lemanska A.

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  1. 1 2010

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Prawda a matematyka

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Lemanska A.
Studia Philosophiae Christianae
|
2010
|
vol. 46
|
issue 1
37-54
EN
In the article the problem of truth in mathematics is presented by the example of the six following statements: 1. The continuum hypothesis. 2. The sum of angles in any triangle is equal to the sum of two right angles. 3. Every even natural number greater than 2 is the sum of two primes. 4. Every map could be coloured with four colours. 5. 2+2=4. The analyses carried out in the article show that in mathematics truth can be understood in various manners. We can use different criteria of truth: classical, coherence, pragmatic and others, so in mathematics truth is revealing different faces. Certain sentences are true only in a sense of coherence, but there exist such sentences, as for example truths of arithmetic, which are true independently of axiomatic systems, culture or any other factors.
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