On Operator N and Wittgenstein’s Logical Philosophy

The Philosophy of Logical Positivism

Logical Nihilism in Contemporary French Philosophy

Recanati takes for granted the conveyance conception of linguistic communication, although it is not very clear exactly where he lies on the spectrum of possible variations. Even if we disavow all such conceptions of linguistic communication, there will be a place for semantic theory in articulating normative concepts such as logical consistency and logical validity. An approach to semantics fo...

Logical-operator tradeoff for local quantum codes

We study the structure of logical operators in localD-dimensional quantum codes, considering both subsystem codes with geometrically local gauge generators and codes defined by geometrically local commuting projectors. We show that if the code distance is d , then any logical operator can be supported on a set of specified geometry containing d̃ qubits, where d̃d1/(D−1) = O(n) and n is the code l...

On the N=2 Superstring Brst Operator

We show that the BRST charge for the N=2 superstring system can be written as Q = e −R (dz 2πi bγ + γ −)e R , where b and γ ± are super-reparametrizations ghosts. This provides a trivial proof of the nilpotence of this operator.

Logical N-AND Gate on a Molecular Turing Machine

In Boolean algebra, it is known that the logical function that corresponds to the negation of the conjunction –NAND– is universal in the sense that any other logical function can be built based on it. This property makes it essential to modern digital electronics and computer processor design. Here, we design a molecular Turing machine that computes the NAND function over binary strings of arbi...