Author Archives: Pierre Beaudry

You are probably going to think that I am crazy for asking you to do this, but what is required to solve the problem of the degeneracy of our present day world is for you to discover the purpose of Plato’s “geometrical number” as a means of dealing with the problem of mastering the method of the coincidence of opposites and of solving the paradox of the One and the Many. That’s right; Plato dealt with this question by constructing a mental process for solving paradoxes with the use of elementary Pythagorean geometry. The present report will show you how to replicate this discovery of principle.

This report is a review of the discovery of principle behind linear and ideal perspective, which I made thanks to Lyndon LaRouche more than 25 years ago, in 1994, and which I invite the younger generations of would be geometers to rediscover by constructing the discovery of principle that Raphael made for his two frescoes, The School of Athens and The Dispute of the Holy Sacrament; that is, the discovery of principle of unity between philosophy and theology.

This discovery does not require any academic knowledge whatsoever; on the contrary, all that is needed is a critical and inquiring mind into constructive geometry, which enables you to discover the solution to Plato’s paradox of the One and the Many. All you have to do is to connect lines to points and points to lines that are already given or find other connecting lines by yourself, starting from those that are already located in this ironic Star of David that Raphael drew on a tablet laying on the floor of The School of Athens.

Today’s society is being subverted by sophistry and by a generally accepted cultural trend of lying. Political propaganda is flooding all of the major information media with so much ideological disinformation and fake news that it has become impossible for ordinary citizens to know what the real world is and how to cope with the constant barrage of aggressive ideological gibberish. Today’s culture has reached what may be the highest degree of falsification and sophistry of language in all of recorded history. The question is: How to get out of this predicament?

Plato’s Cratylus dialogue answers that question: you have to examine your own mind as well as the minds of others. The idea is not to examine what to think, but how to think. Plato uses etymology to teach us how to look at what is behind language and behind “things”, like names in this case, in order to learn the proper way to discover the axioms that are behind human thinking.

Understanding the difference between democracy and fascism is necessary in order to understand and solve the crisis of today’s political world. Raphael introduced a similar polemic into artistic composition five hundred years ago, in 1520, with his last painting, The Transfiguration.

Raphael’s painting depicts two opposite stories in one, taken from the Gospels of Matthew 17 and Mark 9: The transfiguration of Christ through the glorious light of salvation in the upper part, and the disfigured story of a world gone mad, depicted through the darkness of a young boy possessed by the devil, in the lower part. The timeless problem this painting poses to the spectator is how reason and faith can be unified together to solve the tragic crisis of a world gone mad.

In this period of conflicts and upheaval it is useful to look back at how Gottfried Leibniz encountered similar difficulties in his attempts to forge an ecumenical alliance among Europe, Russia, and China. The issue that Leibniz addressed was a matter of axiomatic change.