C32 range of Floating point type values Unsigned long long l // ranges from 0 to +2 to the power of 64 Long long l // ranges from -2 to the power of 63 to +2 to the power of 63-1 If really a large range of values is needed, we can use 64-bit types
Mplab xc8 typedef bit code#
* keep the size of your variables to the minimum necessary operating on bytes versus word can make a big difference in terms of code compactness/efficiency. The only limiting factor, preventing us from always using 32-bit integers, is the consideration of the internal resources, and in this case the RAM memory
It is ok from performance point of view, but it comes with a price. PIC32‘s ALU is performing all arithmetic operations in the same number of cycles for 32-bit, 16-bit or 8-bit integers, which turns the variable long into just a synonym of the basic integer type int. To hold one char variable, C32 compiler will use only 8 bits.Īnother possibility is short type, which will use 16 bits to hold one short variable So, if we do not have to use int and long, we should use char. Of course, we also have the unsigned attribute:įor int, 4 bytes in the physical RAM is used. Typedef unsigned long long int _uint64_t Theorem 3: Necessarily, the property of being God-like is exemplified.įrom researching the include files, one can get this info : Theorem 2: If something is God-like, then the property of being God-like is an essence of that thing. Theorem 1: If a property is positive, then it is consistent, i.e., possibly exemplified.Ĭorollary 1: The property of being God-like is consistent. Axioms 2, 3 and 4 can be summarized by saying that positive properties form a principal ultrafilter.įrom these axioms and definitions and a few other axioms from modal logic, the following theorems can be proved: It may also mean pure attribution as opposed to privation (or containing privation)." (Gödel 1995). Gödel comments that "Positive means positive in the moral aesthetic sense (independently of the accidental structure of the world). He used Leibniz "positive and negative properties" concept to formulate an "ontological proof" for the existence of Godĭefinition 1: x is God-like if and only if x has as essential properties those and only those properties which are positiveĭefinition 2: A is an essence of x if and only if for every property B, x has B necessarily if and only if A entails Bĭefinition 3: x necessarily exists if and only if every essence of x is necessarily exemplifiedĪxiom 1: Any property entailed by-i.e., strictly implied by-a positive property is positiveĪxiom 2: If a property is positive, then its negation is not positiveĪxiom 3: The property of being God-like is positiveĪxiom 4: If a property is positive, then it is necessarily positiveĪxiom 5: Necessary existence is a positive propertyĪxiom 6: For any property P, if P is positive, then being necessarily P is positiveĪxiom 1 assumes that it is possible to single out positive properties from among all properties. Gödel was considered with Aristotle and Frege to be one of the most significant logicians in human history, Gödel made an immense impact upon scientific and philosophical thinking in the 20 th century, a time when others were pioneering the use of logic and set theory to understand the foundations of mathematics.Ĭalling Godel interesting is an understatement. A man who was Einstein's only reason to go to the university, in his later years just to have the privilege of walking back home with Godel ! Famous logician, mathematician, and philosopher Kurt F.
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