Mathematical Logic Introduction
Introduction - Logic is the study and analysis of valid arguments. The arguments are in the form of statements or propositions, which are either true or false, but not both. There are also some statements, which appear to be true and false at the same time. They are called parad..
Introduction
We are already familiar with set theory and mathematical logic from earlier classes. It has already been seen that there is a similarity between the laws stated in set theory and the mathematical logic. The operations 'union', 'intersection' and 'complement' on sets are comparab..
Introduction
The study of logic through the use of mathematical symbols is called Mathematical Logic. Mathematical logic is also known as Symbolic Logic or Boolean Logic..
Introduction
The development of Boolean algebra is a more general theory of set theory and mathematical logic. An English mathematician, named George Boole invented this new kind of algebra which analyses logic mathematically. This Boolean algebra provided a basic logic for ..
Introduction
Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the given me..
Introduction
A Solution is a homogeneous mixture of two or more chemically non-reacting substances called components. The composition of the components can be varied with in certain limits. When two components are present - Binary solution. When three components are present - Ternary so..
Introduction
Chemical reactions mostly take place in solutions. Solution chemistry plays a very significant role in chemistry. All chemical substances are made up of either polar units (called ions) or non-polar units. The activity of these entities is more evident and pronounced in ..
Introduction
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a principle by..
The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction is a principle by..Introduction
The different kinds of micromolecules and macromolecules that we have studied so far occur in the cell dissolved in solution or as suspensions in a colloidal state. Alternatively, they may be assembled into subcellular components like cell membrane, cytoplasm and cell organelles. In addit..
Introduction
An equation containing the trigonometrical functions of an unknown quantity is termed as a trigonometrical equation , which holds for some values (and not for all values) of the quantities involved. The value, that satisfies the equation are called the roots . The main problem of interest in connec..
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