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maths zone

sums will set you free -
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abstracts of articles

why aristotelian logic does not work
Aristotelean logic is the shaky foundation of western thinking and is the cause of conflicts throughout western culture. A primer to thinking sanely.

Metalogic – A: The Confusions of Gödel
An analysis of the multiple problems and unsound foundations involved in Gödel’s theorems (in four parts).
A1: Gödel and sound sets
The requirement for sound sets.
A2:Gödel and sound numbers
Just what are numbers?
A3:Gödel and the ‘paradoxes’
Removing the confusions known as ‘paradoxes’.
A4:The Return of the Gödel
Are Gödel’s theorems just a dog’s breakfast?
Supplement: Who were these people - logic and madness – in preparation

‘intelligence’: misuse and abuse of statistics – abelard
The generalised tool of statistics is widely mis-applied to individual cases and decisions, a process that varies somewhere between fraught and outrageous.

cause, chance and Bayesian statistics
The methods of empiric statistics. improving judgements.

Is Intelligence Distributed Normally? By Cyril Burt, 1963
A paper on the distribution of high IQ.

statistical inquiries into the efficacy of prayer - Francis Galton, 1872
In 1872, Francis Galton, a cousin of Charles Darwin, published this study on the efficacy of prayer. Also in this document are Galton's ingenious method for visualising a million and a short biography of Galton.

Laying the foundations for sound education
Teaching the basics of psychology, including the difference between reality and the words in their heads, to children and adults. This is also the intent of 'meditation' properly understood.

the sum of a geometric sequence: or the arithmetic of fractional banking
Explains fractional banking for the ordinary reader. Sum of a geometric sequence formula, how to derive/use it explained with real world examples and simple language.

oppression, poverty and life expectancy
Oppression leads to poverty. Poverty leads to earlier death. Meanwhile socialist dictatorships also murder in bulk.With explanations of Loss of Life Expectancy (LLE) and logarithms.

calculating moving averages
One way of dealing with the problems where trends are uncertain is to do what is called a moving average. A possible tool to help understand today’s volatile money markets.

read using phonics
A clear and simple explanation of how to teach reading rationally and systematically. Aimed at teachers and parents. NOT look-say.

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