On Four Logic Paradigms After Aristotle’s Formal Logic

The logic studys of science and law thought forms. Existing logicalscience are a diverse group,it is multifarious. However, the logicalscience is not very early and has so many categories, these differentproperties, types of logic, science, and society is adapt to thinking inthe process of development, gradually formed, in the human on thinking ofdeepening understanding of the process appeared in order. The logic of thefirst appeared science is the formal logic, the Aristotle’s is regardedas the founder of formal logic. Aristotle in the tool of "logic to formall aspects of the investigation after the formal logic for the developmentand improvement to lay the solid foundation. But the formal logic structureonly from research thinking, despite the specific content of the thinking,the concept, judgment, the inference of various forms of thought of thelack of overall research。At the same time, Aristotle’s form logic is useof natural language to describe thinking form, and natural language andcan’t avoid ambiguous, this causes thinking error. It is based on the formof Aristotle’s logic has some shortcomings, it after all kinds of logicFanShiCai arises at the historic moment. These new logic from the pointof view of their respective trying to make up for the formal logic in somedefects in order to promote the development and perfection logic. Kant’stranscendental logic was expressed and the formal logic different view.Kant’s critical of formal logic in what is transcendental logic answered,he thought that the logic is to study the law of intellectual and rational。Kant’s transcendental logic from the basic problem, transcendental logicto the contribution of epistemology and transcendental logic and the formallogic relationship of the three aspects of his transcendental logic systemstructure. Kant’s transcendental logic to a great extent broke through thelimitations of formal logic, but he to the rational use oftranscendentalism, also left a broad for later generations debate place,until FeiXi and schelling’s it perfect Hegel transcendental logic, and onthe basis of the development of after three special stage and eventuallydeveloped into a new type of thinking science, namely the dialectical logic.Hegel’s dialectical logic is called the great revolution in thinkingscience, Germany of classical philosophy highest achievement. Hegel reveals the dialectical logic of the three laws, and dialectical logic andthe problem of the relationship between the formal logic, through and theformal logic, transcendental logic contrast to highlight their studycharacteristic, and he also analyzed the dialectical logic researchdilemma. Frey’s mathematical logic overcome the Aristotle’s form logic ofall kinds of limitations, the science to a new peak, is thought to be inthe development of the formal logic breakthrough. With mathematics methodresearch logic problems, dash forward show mathematical logic researchadvantage, its appearance and development, make logic research wasexpanded, the role and function has also had the profound changes, and logicto realize the science some thinking process of mechanization, is apowerful tool, people is right now the use of computers is enough to showthat mathematical logic great contribution. Husserl through thephenomenological reductive method research logic, to the nature of thelogic of the interpretation of the phenomenology and pure logic on thereflection of formal logic, pure logic outstanding logic instability issubjective and objective aspects, it can be said that pure logic isintegrated form logic and transcendental logic but at the same time outof their logic.