You will find here an odd collection of things that I find interesting and from tine to time to time I might have created.
Dave is David Rolfe and is a retired IBM engineer/programmer who has been
known to write poetry and read it to strangers who were not conpletely
sober. In addition I am interested in philosophy and have written a paper
criticising Russell's definition of number and am currently working on a
paper that explores some ideas about space, time, and causation.
I also like photography and have been taking pictures since the days when cameras did not need batteries. But you had to have film.
The frog, having climbed the highest mountain
Saw eagles soaring in the sun
And knew his journey had but begun
This site is very much under development so the contents will be changing. For Now there are few things you can look at. There is a history of the farm where I grew up, some pictures of my grandchildren, and a collection of things I have written. These include a collection of poetry called frogsongs, a paper criticizing Russell's definition of number and addition, and a discussion of time and causation that develops a set of ideas that makes the direction of time somewhat understandable. In addition I am managing a project to support STEM education at the Kingston Public Library. All of this is a work in progress, but then so am I.
In this paper Russell’s definition of number is criticized. Russell’s assertion that a number is a particular kind of set implies that number has the properties of a set. It is argued that this would imply that a number contains elements and that this does not conform to our intuitive notion of number. An alternative definition is presented in which number is not seen as an object, but rather as a process and is related to the act of counting and is tightly bound up with the idea of time. Working from the idea that the description of a thing is not the thing itself, it is argued that a function should not be seen as a subset of the Cartesian product of two sets but can be described in this way. Number is then defined as a particular type of bijective function rather than a set. Definitions of equality and addition are developed. In defining addition an interesting error in Russell’s definition of addition is corrected
Process Definition of Numbe
In this paper David Hume's analysis of causation is discussed and a way of connecting cause and effect is suggested. This connection is found to be time itself and time is understood to be an active agent transforming reality from instant to instant. The notion of localities and a network of connected localities is seen to create space. Localities that do not interact with photons but with state changes in the central nervous system create the experience of mind that in turn causes changes in state of the nevous system. It is claimed that this interaction provides an understanding of mental causation.