non-deductive

The extent to which our use of non-deductive methods is due to limitations in practice rather than limitations in principle remains an issue for further investigation.

Non-Deductive Methods in Mathematics Baker, Alan 2009

Work by contemporary philosophers of mathematics is continuing to push the study of non-deductive mathematical methods in new directions.

Non-Deductive Methods in Mathematics Baker, Alan 2009

An important implication of this view is that there is no room, at least ideally, in mathematics for non-deductive methods.

Non-Deductive Methods in Mathematics Baker, Alan 2009

A natural starting point, therefore, in a survey of non-deductive methods in mathematics, is to look at the rise of a genre known as “experimental mathematics.”

Non-Deductive Methods in Mathematics Baker, Alan 2009

Conversely, in order to pose a genuine challenge to the familiar deductivist position, the counterclaim needs to be that non-deductive methods play a role in the justification of mathematical results.

Non-Deductive Methods in Mathematics Baker, Alan 2009

The broad claim that there are some non-deductive aspects of mathematical activity seems relatively uncontroversial.

Non-Deductive Methods in Mathematics Baker, Alan 2009

Does our decision to rely on the output of the computer here constitute a non-deductive method?

Non-Deductive Methods in Mathematics Baker, Alan 2009

To advance beyond foundations we will inevitably need to employ non-deductive reasoning and according to PIJ that will ultimately require us to have noninferential (direct) knowledge of propositions describing probability connections between evidence and conclusions.

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More likely is that the array of non-deductive methods is diverse and heterogeneous.

Non-Deductive Methods in Mathematics Baker, Alan 2009

One way of viewing this kind of example is as driving a wedge between a deductive method and our non-deductive access to the results of that method.

Non-Deductive Methods in Mathematics Baker, Alan 2009