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Questions related from James F Peters
In linear logic, a constructive approach is used in arriving at conclusions. That is, a conclusion is arrived as a result of our knowledge embodied in premises of a deduction. For example, we...
27 January 2019 7,167 1 View
In the OED, epistemology is defined as follows: epistemology /I%pIstI"mQl@dZi, E-/ · n. Philosophy the theory of knowledge, especially with regard to its methods, validity, and scope. –...
25 January 2019 3,427 12 View
Is a habit of the mind to quantify (measure, or view geometrically, or topologically) what we know about physical shapes? Is the use of geometry or topology or metrics underlying our perception...
25 January 2019 9,572 2 View
A light caustic is the result of light reflected from a curved surface. The attached images show an example of a coffee cup caustic and its geometry. A coffee cup caustic has two main...
02 January 2019 4,304 1 View
There are many different forms of vortexes in the physical world. Here are two common examples: Tornado vortex. These are common atmospheric disturbance in the Midwest in North America (see,...
20 June 2018 3,695 7 View
Recall that a polytope is defined by the intersection of finitely many closed half spaces. A planar polytope is the defined by the intersection of finitely many planar closed half spaces. For...
10 January 2017 2,794 5 View
By definition, a shape is an external form or appearance of something. This is how the Oxford English Dictionary defines the term shape. But then this definition raises more questions than it...
17 May 2016 6,940 43 View
In a Euclidean space, an object S is convex, provided the line segment connecting each pair of points in S is also within S. Examples of convex objects in the attached image include convex...
19 September 2014 3,357 23 View
Do you think that the interaction between such scholars has led to the success of their work in making an impact? Scholars such as Euclid (geometry), Newton (science), Plato (philosophy)...
17 April 2014 7,838 90 View
The word "pattern" in everyday parlance often means something typical that can be repeated, something characteristically capable of repetition into similar copies (Ulf Grenander, Elements of...
28 February 2014 8,891 74 View
It was observed in an earlier thread that G.H. Hardy made the following observation in his 194o book A Mathematician's Apology: "The mathematician's patterns, like the painter's or the poet's,...
01 February 2014 6,889 96 View
Infinity in mathematics is a property of a set of objects that is not finite. The traditional view of infinity has its origin in the writings of Aristotle and the notion of potential infinity. "It...
08 January 2014 6,824 99 View
Repeated polygonal shapes or repeated colours are sources of visual patterns. Another important source of patterns are the presence of convex sets and convex hulls in digital images, especially...
02 August 2013 3,838 15 View
Currently, an adherent point is a closure point (Adamson, 1995). An adherent point which is not a limit point is isolated. But this does not explain what the term "isolated" means. L.T....
09 July 2013 195 2 View
Here are is a sample technology without a history: Philips head vs. Roberts head wood screws. Philips head wood screw: see the attached image...
01 January 1970 9,177 7 View
