Archive for the ‘Software and Mathematics’ Category

State and Event

Thursday, March 5th, 2009

OpenTask plans to publish a philosophical treatise:

State and Event: Categorical Foundations of Being and Time (ISBN: 978-1906717643)

- Dmitry Vostokov @ SoftwareGeneralist.com -

Finite Sets

Tuesday, February 10th, 2009

Sets are objects that contain other objects, called elements which may be sets themselves. This can be illustrated on the following UML static class and object diagrams:

The cardinal number (cardinality) of a set is the number of its elements in the case of finite sets.  

Here A, B, SB and SC belong to SA set, C belongs to SB set and SC set is the empty set ø. In bracketed set-theoretic notation we have:

SA = {A, B, SB, SC} = {A, B, {C}, {}}

Card(SA) = 4
Card(SB) = 1
Card(SC) = 0

Note: the empty set ø = {} is a subset of any set and this is not shown on diagrams above.

- Dmitry Vostokov @ SoftwareGeneralist.com

Software and Modern Mathematics

Tuesday, February 10th, 2009

This is a forthcoming book consisting of short articles with illustrations planned to be published by the end of this year:

Software and Modern Mathematics (ISBN-13: 978-1906717582)

- Dmitry Vostokov @ SoftwareGeneralist.com -