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The purpose of this paper is to present a paraconsistent formal system and a corresponding intended interpretation according to which true contradictions are not tolerated.
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The result is the loss of at least one among reflexivity, monotonicity, and the deduction theorem in a Brouwerian intuitionistic logic, which seems to be an undesirable result. Although the same argument against explosion can be also applied against weak explosion, rejecting the latter requires the rejection of ex quodlibet verum. Given ex quodlibet verum, the inference we call weak explosion, according to which any negated proposition follows from a contradiction, is proved in a few steps. The principle known as ex quodlibet verum, according to which a valid formula follows from anything, should also be rejected by a relevantist. We agree that explosion should not hold in intuitionistic logic, but a relevance logic requires more than the invalidity of explosion. Indeed, van Atten (2009) argues that a formal system in line with Brouwer's ideas should be a relevance logic. However, it is not clear that explosion is in accordance with Brouwer's views on the nature of mathematics and its relationship with logic. The inference called ex falso quodlibet, or the principle of explosion, according to which anything follows from a contradiction, holds in intuitionistic logic. I turned it into a turntable for QL (the audio player), and into a vinyl sleeve for ExFalso (the tag editor).The formal system proposed by Heyting (1930, 1956) became the standard formulation of intuitionistic logic. The background shape follows these tags and is unique enough to be quickly recognized.ģ: This cylindrical one can be seen as a standard database icon (because QL aims at huge music collections) and as a vinyls stack (which are the collectors' typical media).Ĥ: I was looking for a musical notation symbol that best expresses the Quod Libet meaning “whatever you please”, and found the fermata: a dot and an arc (or squared bridge for rest) on a staff which indicates to the performer that he can play the note as long as he wants.
#AB FALSO QUOD LIBET DEFINE CODE#
I really approve idea of optimizing the app icons, and I would like to add some proposals to broaden the discussion:ġ: A really simple and contrasted proposition that keeps the original petrol blue gradient as solid background, and initial letters of app names (QuodLibet and ExFalso) in a new font integrating the current (and optimized) icons.Ģ: I reused the current logos and added the less- and greater-than signs, typical of code icons, because the tag syntax (and query language) is an important and specific feature of QuodLibet. It's totally okay if you don't like one or both, and it's fine if someone else's icon would be chosen. Corners are rounded and the spikes are cut shorter. The new Ex Falso design is based on the old. Similarly to Ex Falso's logo I'm trying to go for a more squarish look, as that's pretty much the standard for most app icons nowadays.
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Zipped svg (GitHub does not allow svg to be uploaded) if you want to try some changes Replace logos in images/hicolor/scalable/apps.None really, but a few users (who are not using icon packs) might not recognize the icon at first. Old icons might make users think the app is not maintained anymore or it might simply not catch their eye. Add new logos for Quod Libet and possibly Ex Falso.