A comment on: ‘On some contradictory computations in multi-dimensional mathematics’
✍ Scribed by E. Capelas de Oliveira; W.A. Rodrigues Jr.
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 204 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper we analyze the status of some 'unbelievable results' presented in the paper 'On Some Contradictory Computations in Multi-Dimensional Mathematics' [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] published in Nonlinear Analysis, a journal indexed in the Science Citation Index. Among some of the unbelievable results 'proved' in the paper we can find statements like: (i) a rotation T θ : R 2 → R 2 , θ = nπ/2, is inconsistent with arithmetic, (ii) complex number theory is inconsistent. Besides these 'results' of mathematical nature, [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] offers also a 'proof' that Special Relativity is inconsistent. Now, we are left with only two options (a) the results of [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] are correct and in this case we need a revolution in Mathematics (and also in Physics) or (b) the paper is a potpourri of nonsense. We show that option (b) is the correct one. All 'proofs' appearing in [L.A.V. Carvalho, On some contradictory computations in multi-dimensional mathematics, Nonlinear Anal. 63 (2005) 725-734] are trivially wrong, being based on a poor knowledge of advanced calculus notions. There are many examples (some of them discussed in [A.L.T. Carvalho, W.A. Rodrigues Jr., The non sequitur mathematics and physics of the 'new electrodynamics' proposed by the AIAS group, Random Oper.
📜 SIMILAR VOLUMES
Computations for chemical shifts of molecular organic compounds using the gauge-including projector augmented wave method and the NMR-CASTEP code are reviewed. The methods are briefly introduced, and some general aspects involving the sources of uncertainty in the results are explored. The limitatio