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Publications by PETER FEKETE
Director of Black's Academy Limited
The Ethical Crisis of the West
The Ethical Crisis of the West
by Peter Fekete — Published by Black's Academy Limited — June 2022
Prepared for the presentation on Ethics to auditors and partners of Ernst & Young, June 30th 2022

Three discourses on ethics for corporate life. This work has been written for a corporate audience and is intended to introduce ethics. In addition to putting the reader in connection with the main currents of ethical thinking, both historical and contemporary, the purpose is to motivate business leaders and their employees to avoid the pitfalls of corporate malfeasance. The frequent instances of corporate malfeasance indicate that there is a spiritual illness at work in our Western culture. To redress this illness, it is first necessary to understand it. The thesis is that we are living in a state of normlessness brought on by a change in the structure of our beliefs.

The theme of the first discourse is the anatomy of hard ethical choice. Subsections: Emotions, The Balancing Act, The Either/Or, Desire, Shadow, To Be or Not To Be, Conscience and Corporate Culture and The Golden Rule. The theme of the second discourse is the crisis of justification itself. Subsections: God is Dead, The Great Discontinuity, After the Big Ditch, The Fact Value Gap, Promise Keeping and Promise Breaking, The Humean Answer, Utilitarianism, Everything is Permitted and Nihilism. The theme of the third discourse is moral regeneration. There is a subsection on Superiority.

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The Quest for Gold
The Quest for Gold
Edited by Peter Fekete — Published by The Liverpool University Press — 2016
The Quest for Gold is an edited version of writings by visionary Andrew Fekete — a painter, architect, poet and writer, who died in 1986 from an Aids-related illness. Andrew, flâneur, walked the city; he was a man whose writings, to adapt the words of Baudelaire, serve as a mirror as vast as the crowd itself. This anthology, collated by his brother Peter, comprises key works from Andrew Fekete's opus, and deals with his development as an artist, his visions and his experiment in Jungian alchemy — the intentional creation of visionary experiences to manifest unconscious archetypes to consciousness. The title is taken from an autobiographical novella that Andrew wrote in 1982, with extracts from his diaries also provided. The culmination of the anthology is the poem Punishment for the Transgressors in which Andrew confronts his impending death, thereby illustrating the connection between art and life. The work, which is open to multiple interpretations, is witty and entertaining, dramatic and engaging, full of deep sentiment and self-reflection. We journey with Andrew in his Quest for Gold that occurs against the background of his sexuality and his membership of the gay community. We see into the mind of a man undertaking an experiment in the exploration of what Jung calls the contents of the collective unconscious in an attempt at self-healing and expansion of consciousness.

Website: Andrew Fekete
Poincare's Thesis
Poincaré's Thesis
by Peter Fekete — Selected chapters available for immediate download — 2011
Analytic logic, which is also called syllogistic logic, is based upon analysis of the spatial relation of part to whole. The subject of arithmetic is , the collection of all natural numbers. This domain is equipped with a principle of reasoning called complete induction. In this work Peter Fekete advances the thesis, originally proposed by Poincaré, that complete induction cannot be derived from analytic logic. Poincaré calls complete induction "reasoning by recurrence" and states that it is the creative principle in all mathematical reasoning that enables us to synthetically reduce the infinite to the finite.

If Poincaré's Thesis is upheld, it comprises an absolute mathematical refutation of the claims of Strong AI. A computer cannot replicate the mathematical reasoning of the human mind. The human mind is not a mechanism.

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On the Continuum
On the Continuum
by Peter Fekete — Available for immediate download — 2013
This paper presents a solution to the problem of the continuum. The continuum hypothesis as advanced by Cantor, concerns the structure of the real line. The text resolves the problem by exposing the fundamental errors of modern philosophical mathematics: the failure to distinguish adequately between the potential and actual infinite; the identification of mathematical reasoning with first-order set theory; the failure to understand that the axiom of completeness is a second-order axiom that cannot be comprehended within a first-order theory; the failure to comprehend that the real line cannot be idenfied with any collection of mere points. Since a point marks a boundary between two extended parts of the continuum, and has no magnitude, when in thought a boundary point is removed from the continuum all the extension is left behind. Therefore, to construct the arithmetical continuum there must be two primitive notions: boundary points and extensions. The paper proposes the Axiom of Indestructibility of Extension: Every proper part of an extended portion of space is extended. In the words of Kant: "Space consists solely of spaces, time solely of times. Points and instants are only limits, that is, mere positions which limit space and time." On this basis, the problem of the continuum can be resolved.

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