In this chapter, the superposition of Hegel’s sections on Quantum and Infinity from the discussion of Simple Connection in the Jena Logic is meant to be suggestive of quantization in the quantum-theoretical sense, and allows for drawing a sharp distinction between quantity/quantification and quantum/quantization. Quantification is distinct from quantization, and the two stand in the same relation as the categories of quantity and quantum. Hegel’s quantization is classical, and thus more closely connected to quantification, but we may also ask about more robust quantum-theoretical analogues (Quantum Hegel). In the classical context, the most obvious evidence of quantization will be the prominence of the numerical quantifier. The superposition ‘Quantum Infinity’ is meant to stress that Infinity must also be a function of quantization and not merely quantification. On the basis of this distinction we may investigate Hegel’s consequent discussion of Infinity taking the numerical quantifier as point of departure. Hegel’s Infinity is in fact meta-categorial: it is a category which stands over the three previous categories of quality, quantity and quantum.

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Simple Connection II: Quantum Infinity

  • O. Bradley Bassler

摘要

In this chapter, the superposition of Hegel’s sections on Quantum and Infinity from the discussion of Simple Connection in the Jena Logic is meant to be suggestive of quantization in the quantum-theoretical sense, and allows for drawing a sharp distinction between quantity/quantification and quantum/quantization. Quantification is distinct from quantization, and the two stand in the same relation as the categories of quantity and quantum. Hegel’s quantization is classical, and thus more closely connected to quantification, but we may also ask about more robust quantum-theoretical analogues (Quantum Hegel). In the classical context, the most obvious evidence of quantization will be the prominence of the numerical quantifier. The superposition ‘Quantum Infinity’ is meant to stress that Infinity must also be a function of quantization and not merely quantification. On the basis of this distinction we may investigate Hegel’s consequent discussion of Infinity taking the numerical quantifier as point of departure. Hegel’s Infinity is in fact meta-categorial: it is a category which stands over the three previous categories of quality, quantity and quantum.