Degrees of truth and falsity
In philosophical logic, there are a number of theories which go beyond the classical conception of truth. For example, some theories hold that there are degrees of truth between zero and one. This can help us deal with statements such as 'John is bald', which may not seem completely true or completely false. Other theories hold that certain expressions are neither true nor false, or that they are both true and false. Examples include statements about the future whose truth may not yet be determined, or paradoxical statements which (truly) assert their own falsity. In my paper, Degrees of Truth, Degrees of Falsity, I consider a system of logic that marries these two ideas. Each sentence has a degree of truth and a degree of falsity, which needn't always sum to one. For further details, see the paper, in which I explain the motivations and present the system in a clear and simple manner.