2 citations · 2 across the 11 of their papers we have counts for
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On the magic square constructed with nine distinct square numbers
Jailton C. Ferreira
A proof that there is no magic square constructed with nine distinct square numbers is given.
The Antinomy of the Liar and Provability
Jailton C. Ferreira
This work evidences that a sentence cannot be denominated by P and written as P IS NOT TRUE. It demonstrates that in a system in which Q denominates the sentence Q IS NOT PROVABLE…
The non-trivial zeros of Riemann's zeta-function
Jailton C. Ferreira
A proof of the Riemann hypothesis using the reflection principle is presented.
A proof of the non existence of Frey curves without using TSW theorem
Jailton C. Ferreira
Fermat's Last Theorem (FLT) implies that the Frey curves do not exist. A proof of FLT independent of proved Taniyama-Shimura-Weil conjecture is presented.
On Goldbach's Conjecture
Jailton C. Ferreira
It is shown that if every odd integer is the sum of three primes, then every even integer is the sum of two primes. A conditional proof of Goldbach's conjecture, ba…
Infinite and natural numbers
Jailton C. Ferreira
The infinite numbers of the set M of finite and infinite natural numbers are defined starting from the sequence 0Φ, where 0 is the first natural number, Φis a succession of symbols…
On power sets
Jailton C. Ferreira
This work presents theorems which state (i) Z is a proper subset for any bijection f between A and Z, where Z is contained in P(A), A is a non-finite set and |Z|=|A|, and (ii) bein…
The cardinality of the set of real numbers
Jailton C. Ferreira
A proof that the set of real numbers is denumerable is given.
On the set of natural numbers
Jailton C. Ferreira
This paper was withdrawn by the authors.
On the Goedel's formula
Jailton C. Ferreira
The proof of Goedel's first incompleteness theorem includes the construction of an arithmetic formula G that represents the metamathematical statement: the formula G is not provabl…
On the cardinality of the set of the real numbers
Jailton C. Ferreira
It is shown that any denumerable list L to which Cantor's diagonal method was applied is incomplete. However, this doesn't allow us to affirm that the cardinality of the real numbe…