Zeno of Elea invented several paradoxes which are justly famous. They amount to interesting and p... more Zeno of Elea invented several paradoxes which are justly famous. They amount to interesting and plausible arguments for obviously false conclusions. This is the characteristic of a good paradox: it promises to be interesting and instructive. To say that Zeno's arguments are ...
Graham Priest (1987) argues that motion must be an inconsistent process. The idea of motion and c... more Graham Priest (1987) argues that motion must be an inconsistent process. The idea of motion and change as inconsistent has a long history, from Heracleitus to Hegel. As a major premise in his proposed account, Priest, following Hegel, argues that an account of motion at a ...
... Type: Journal article. Title: It isn't so, but could it be? Author: Mortensen, Chris... more ... Type: Journal article. Title: It isn't so, but could it be? Author: Mortensen, Christian Edward. Citation: Logique et Analyse, 2005; 48 (189-192):351-360. Publisher: Nationaal Centrum voor Navorsingen in de Logica. Issue Date: 2005. ISSN: 0024-5836. ...
The existence of the inconsistent case of a system of linear equations (or for that matter any sy... more The existence of the inconsistent case of a system of linear equations (or for that matter any system of constraints, not necessarily linear) has been known for a long time, but there has been no attempt to analyse its structure. There would seem to be good reason to do so, if only because the state of affairs might arise in a real life control system (see sections 3 and 4). Using the methods developed so far, it is possible to say something about the structure of solutions to such cases; though it must be confessed that in the end the situation remains less than satisfactory.
Dialetheism is the thesis that there are true contradictions. But humans tolerate contradictions ... more Dialetheism is the thesis that there are true contradictions. But humans tolerate contradictions without necessarily believing them to be true. Two sources are (a) contradictions in mathematics, which are dialethic only if one is a realist, non-fictionalist about mathematics (b) contradictory images such as the impossible triangle, which are certainly not true in the real world. This paper explores these ideas, and concludes that impossible figures give us examples of non-dialethic contradictory contents.
This chapter explores the limits of the sayable in the context of Zen stories, arguing that the v... more This chapter explores the limits of the sayable in the context of Zen stories, arguing that the very fact that Zen addresses our mode of prereflective engagement with the world-a mode of engagement that is in important ways precognitive-means that much of what Zen has to teach us must be shown, and not said. This language, of course, is redolent of the Tractatus.Chris Mortensenhttp://trove.nla.gov.au/work/3497273
Zeno of Elea invented several paradoxes which are justly famous. They amount to interesting and p... more Zeno of Elea invented several paradoxes which are justly famous. They amount to interesting and plausible arguments for obviously false conclusions. This is the characteristic of a good paradox: it promises to be interesting and instructive. To say that Zeno's arguments are ...
Graham Priest (1987) argues that motion must be an inconsistent process. The idea of motion and c... more Graham Priest (1987) argues that motion must be an inconsistent process. The idea of motion and change as inconsistent has a long history, from Heracleitus to Hegel. As a major premise in his proposed account, Priest, following Hegel, argues that an account of motion at a ...
... Type: Journal article. Title: It isn't so, but could it be? Author: Mortensen, Chris... more ... Type: Journal article. Title: It isn't so, but could it be? Author: Mortensen, Christian Edward. Citation: Logique et Analyse, 2005; 48 (189-192):351-360. Publisher: Nationaal Centrum voor Navorsingen in de Logica. Issue Date: 2005. ISSN: 0024-5836. ...
The existence of the inconsistent case of a system of linear equations (or for that matter any sy... more The existence of the inconsistent case of a system of linear equations (or for that matter any system of constraints, not necessarily linear) has been known for a long time, but there has been no attempt to analyse its structure. There would seem to be good reason to do so, if only because the state of affairs might arise in a real life control system (see sections 3 and 4). Using the methods developed so far, it is possible to say something about the structure of solutions to such cases; though it must be confessed that in the end the situation remains less than satisfactory.
Dialetheism is the thesis that there are true contradictions. But humans tolerate contradictions ... more Dialetheism is the thesis that there are true contradictions. But humans tolerate contradictions without necessarily believing them to be true. Two sources are (a) contradictions in mathematics, which are dialethic only if one is a realist, non-fictionalist about mathematics (b) contradictory images such as the impossible triangle, which are certainly not true in the real world. This paper explores these ideas, and concludes that impossible figures give us examples of non-dialethic contradictory contents.
This chapter explores the limits of the sayable in the context of Zen stories, arguing that the v... more This chapter explores the limits of the sayable in the context of Zen stories, arguing that the very fact that Zen addresses our mode of prereflective engagement with the world-a mode of engagement that is in important ways precognitive-means that much of what Zen has to teach us must be shown, and not said. This language, of course, is redolent of the Tractatus.Chris Mortensenhttp://trove.nla.gov.au/work/3497273
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