Determinism or indeterminism or something else

Determinism is a philosophical position stating that for everything that happens there are conditions such that, given those conditions, nothing else could happen. Representatives deny the existence of random events. Indeterminism is the philosophical concept that there exist random events, i.e. certain events are not caused. It is the opposite of determinism.

I would like to show that there is a third possibility in the case of debate of determinism and indeterminism.¹ So the law of excluded middle is not usable.

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¹ The determinism / indeterminism issue has been touched upon "About freedom and free will" , I was writing.

1. Wenzi, Authentic Scripture of Pervading Mystery

The book is a work of Wenzi who was one of Laozi’s followers, although the author's name is vague, and the era is also indeterminate when he lived. This book is regarded as an explanation of “Tao Te Ching”.

…

2. Otto Hévizi, Time and syncretism (with a constant look onto Nietzsche)

I read nothing yet from Hévizi’s works but I found more downloadable material on the net from him. These Hévizi’s writings were readable but in a sophisticated style.

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3. Martin Heidegger, The concept of time

I obtained this book in a second-hand bookshop (Kossuth Könyvkiadó, 1992.). The writing is a lecture, which Heidegger kept in 1924,, and I would like to read it since I was reading Heidegger's "Being and Time".

…

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1. Kronecker was wrong

Kronecker was quoted often as having said, "God made natural numbers; all else is the work of man".

In my opinion Kronecker did not think correctly, people have created known numbers, but God's numbers are still hidden from us. Men simplify the things because they can only understand step-by-step the very difficult matters.

2. Occam's Razor

Occam's razor is an approach to the understanding of something, which means that “the simplest explanation is usually the correct one”. In another words one should always opt for an explanation in terms of the fewest possible causes, factors, or variables. On the other hand discovery of new and complex thing will be possible if and only if we assume the impossible.

“If anyone in a discussion with us is not concerned with adjusting himself to truth, if he has no wish to find the truth, he is intellectually a barbarian.”
(José Ortega Y Gasset, The Revolt of the Masses)

The spread of the information became "timeless"¹ with use of internet. Considerable proportion of humanity can get news or information about scientific discovery as soon as it is put onto one of the media.

…

The acquisition of the new information depends on the quality of data processing and his velocity alone because of the gigantic quantity of the information.

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¹The speed of information is almost infinite speed.

„The Retreat from the Word”
(George Steiner¹)

This very day, I am under the influence of George Steiner’s essay titled “The Retreat from the Word”. The author's writing does not have out of date, but the past five decades² justified it every bit. The devaluation of language – as Steiner also wrote – manifested primarily in the following processes:

* The submission of successively larger areas of knowledge to the modes and proceedings of mathematics,
* The increasing spread of musical culture, especially among young people,

* ...

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¹ The motto is the title of one of George Steiner’s essays.

² The essay was published in 1961.

The above title is meaningless if we do not know the essence of the relationship between space-time and continuum problem.

As I explicated earlier¹: one of three different mutually exclusive description of continuum hypothesizes can be modeled by one of the two-element numbers.

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¹ The problems of physics and the dilemma of CH in mathematics  ,
Time, Space and Infinity  ,
On the mathematics of the quantum theory I.  ,
On the mathematics of the quantum theory II.  ,
Reflections on the foundations of set theory  

In my earlier item¹ the author of mentioned book² wrote about the predecessor of his book: David Hestenes & Garret Sobczyk, Clifford Algebra to Geometric Calculus – A Unified Language for Mathematics and Physics³ . This book was first published in 1984, but I have only now noticed it and purchased its newer edition reprinted in 1987.

These two books should be assessed only with together, so I will write about them later.

The content of last-named book is as follows:

Table of Contents

Preface vii
Introduction xi
Symbols and Notation xv

Chapter1 / Geometric Algebra 1

1-1. Axioms, Definitions and Identities 3
1-2. Vector Spaces, Pseudoscalars and Projections 16
1-3. Frames and Matrices 27
1-4. Alternating Forms and Determinants 33
1-5. Geometric Algebras of PseudoEuclidean Spaces 41

Chapter2 / Differentiation 44

2-1. Differentiation by Vectors 44
2-2. Multivector Derivative, Differential and Adjoints 53
2-3. Factorization and Simplicial Derivatives 59

Chapter3 / Linearand MultilinearFunctions 63

3-1. Linear Transformations and Outermorphisms 66
3-2. Characteristic Multivectors and the Cayley-Hamilton Theorem 71
3-3. Eigenblades and Invariant Spaces 75
3-4. Synunetric and Skew-synunetric Transformations 78
3-5. Normal and Orthogonal Transformations 86
3-6. Canonical Forms for General Linear Transformations 94
3-7. Metric Tensors and Isornetries 96
3-8. Isometries and Spinors of PseudoEuclidean Spaces 102
3-9. Linear Multivector Functions 111
3-10. Tensors 130

Chapter4 / Calculus on Vector Manifolds 137

4-1. Vector Manifolds 139
4-2. Projection, Shape and Curl 147
4-3. Intrinsic Derivatives and Lie Brackets 155
4-4. Curl and Pseudoscalar162
4-5. Transformations of Vector Manifolds 165
4-6. Computation of Induced Transformations 173
4-7. Complex Numbers and Conformal Transformations 180

Chapter5 / Differential Geometry of Vector Manifolds 188
5·1. Curl and Curvature189
5-2. Hypersurfaces in Euclidean Space 196
5-3. Related Geometries 201
5-4. Parallelism and Projectively Related Geometries 203
5-5. Conformally Related Geometries 210
5-6. Induced Geometries 220

Chapter6 /The Method of Mobiles 225
6-1. Frames and Coordinates 225
6-2. Mobiles and Curvature 230
6-3. Curves and Comoving Frames 237
6-4. The Calculus of Differential Forms 240

Chapter7 / Directed Integration Theory 249
7-1. Directed Integrals 249
7-2. Derivatives from Integrals 252
7-3. The Fundamental Theorem of Calculus 256
7-4. Antiderivatives, Analytic Functions and Complex Variables 259
7-5. Changing Integration Variables 266
7-6. Inverse and Implicit Functions 269
7-7. Winding Numbers 272
7-8. The Gauss-Bonnet Theorem 276

Chapter8 / Lie Groups and Lie Algebra 283
8-1. General Theory 283
8-2. Computation 291
8-3. Classification 296
References 305
Index 309

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¹ Preview of a book

² Garret Sobczyk, New Foundations in Mathematics – The Geometric Concept of Number

³ http://www.amazon.com/Clifford-Algebra-Geometric-Calculus-Mathematics/dp/9027725616/ref=sr_1_1?s=books&ie=UTF8&qid=1364822847&sr=1-1&keywords=clifford+algebra+to+geometric+calculus

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Briefly

Content:

1. Some pictures on a winter night - Budapest, Clark Adam Square

2. Mathematics and beauty – an eye-catching book for everyone

ELI MAJOR and EUGEN JOST, Beautiful Geometry

3. Existence / non-existence

4. A poem which spoke to me

“… I have promises to keep,
And miles to go before I sleep,
And miles to go before I sleep.”
(Robert Frost, Stopping by Woods on a Snowy Evening)

Thoughts in connection with the protestation¹ against tax on the internet traffic

I consecrated the above title for attracting one, but in no way funny the thoughts that begat it. I dealt with politics little on my website and only in generality. I will make this now similarly on the occasion of an actual event.

Thoughts on a book show

I heard of the above book show in a newsletter. Although I disliked the book's title, I went to the event because the last time I do not really paying attention to painting and art history, so I was curious of the book and the show.

The author, Mihály Bodó applies the concept of Wittgenstein’s language-game¹ in the description of painting.