There are several meanings and philosophical systems of the term idealism. The most common is that - according to Wikipedia - equates life to a dream even if this statement is not intended to reduce confusion. Idealism, in fact stands in radical contrast with respect to common sense, that would not let us realize to live in a world of fiction; paradoxically, then, just common sense would be the real "sleeper" for the illusion about the existence of a real world outside us.

In making of the Idea, that is, of thought, or the subject, the principle ‘prime’ from which the reality arises and is deduced (the being or object), idealism is opposed in particular to:

dogmatism, that, contrary to idealism, the subject derives its existence from the object and not vice versa. However, it deals of two perspectives in short complementary, based on the same immediate unity of subject and object; to realism, according to which reality exists independently of the subject.

For the idealists, this view would be still at a stage of unawareness, unable to recognize that reality is a production of the human mind. Some idealists, however, did not want to destroy the scientific-ontological system of realism, to materialism, to mechanicism, and to all those theories that are based on a reductionist or utilitarian approach to reality; to them idealism contrasts the unconscious and interior dimension of the individual, emphasizing the dream, the fantasy, the imagination, the moral and artistic sentiment as the main ways that can lead to the truth.

Then there is the case of an empiricist idealism, headed by George Berkeley, that could be considered one of the most radical idealists: his empiricism is opposed to the rationalist conception that the ideas of reason had a basis in the objective reality.

Leibniz (1646-1716) used the term ‘idealism’ to indicate the philosophy of Plato. Although in the history of philosophy the term "idealism" usually indicates a period from the late eighteenth century to the early decades of the next century, the idealist philosophy has actually an extension historically much larger. While recognizing that the German idealism of Hegel, Fichte and Schelling perhaps represents its maximum theoretical consistency, this philosophical movement can not be confined only in this period, being an epistemological vision that runs across all the history of Western philosophical thought, albeit with different nuances.

If the above is now common ‘baggage’, it is still discussed Plato's position in favor of the reality of mathematical entities. In that part of Metaphysics dedicated to the Platonic doctrine of causes, Aristotle (384-322 BC) states, after having recalled among other things that it is both like and unlike the Pythagorean theory, that for Plato, "in addition to sensitive forms and real objects exist as something in between, mathematical entities, which differ from sensible things because they are eternal and differ from the ideal forms because there is a plurality of mathematical entities that are similar, while each ideal shape is in itself unique, individual, "(Metaphysics, I, 6, 987b). For Aristotle, then, Plato admits the existence of "archetypal ideas" of numbers from which, in a similar way to other ideas, derive mathematical numbers. Indeed, in various works of Plato, the Philebus, the Republic, the Letter VII, we find an allusion to the existence of ideal numbers that are archetypes of the numbers used by mathematicians.

In Plato one can therefore assume the existence of the numbers, but with caution to remember that he speaks only as archetypal ideas, a concept of the number very different from mathematical reality that results.

The absolute idealism developed even in a period still dominated by the thought of Kant, through a discussion of his criticism: the idealists, in fact, denied the existence of the noumenon (that was for Kant the reality outside the subject, located beyond its limits to knowledge), and affirmed the existence of the sole phenomenon (reality as we know it), drawing the consequence that there can be only what is in our conscience. This primacy of knowledge of conscience became one of the most significant elements of absolute idealism.

The problem of the Kantian noumenon was due to the fact that, if it is stated that it is unknowable, there is no logical reason to postulate its existence. Admitting the presence of the thing itself independently of the subject who knows it, for example, was for Fichte a dogmatic and irrational position, leading to an inconsistent dualism between subject and object, or between the noumenon and the so-called ‘I think’. Kant considered the ‘I think’ as the summit of critical conscience that was the formal condition without which we could not even think.

It has to be considered that in opposition to materialism, realism and similar ideas, idealism considers the matter as something ontologically secondary against the Idea, as somewhat derivative and with no independent reality, that only from the Idea - that is, the spiritual substance - receives its apparent and impoverished part of reality. Obviously, the sense of idealism is not univocal, but extremely complex because, in the history of thought, it is configured in different ways according to the concept of ideas or spiritual substance dominant in different periods and in different thinkers; a preliminary distinction is necessary between an epistemological idealism, which makes of the thinking subject, understood as a spiritual entity, the focus and starting point of philosophical thought - as in Descartes - without operating a resolution of the entire external reality to thought, and a metaphysical idealism, which on the contrary operates radically unlike that resolution, up to argue that the very act of thought is the act of the creation of the outside world, thus solving the reality of the latter in the activity of thinking, or identifying the absolutely ' being and thinking’, as in the classical German idealism.

Fichte recognized to Kant the merit of having approached the idealistic conception with the doctrine of '"I think," or "transcendental apperception", which remained, however, a formal principle of reality.

Transcendental is the act by which the ego creates the world. This act can not be demonstrated by rational, but that assumption beginning with an intuitive-intellectual act in this transcendental sense: form and content, transcendent and immanent, before the creation of reality (self-consciousness) and simultaneously coincident with it.

In the system of transcendental idealism (Opera (1800) by Schelling the complete system of idealism is exposed, with the complement of the writings on Nature presents the first phase of the thought of Schelling. Philosophy itself and its parts are exposed to according to a gradual continuity within a unified design in which self-consciousness rises to the absolute, caught by an intellectual intuition. Intellectual intuition is "the means of transcendental philosophy," which moves from consciousness to consciousness, by overcoming the conflict between 'nature' and 'I' without recourse to the Kantian 'thing in itself'. Nature in its various stages of development It is but the unconscious manifestation of the spirit (it is "consciousness petrified' ), which is composed, according to a polarity, with the conscious activity exemplified by the representative thought and the demonstrative sciences.

Understanding the unity of absolute knowledge is possible only by an act of intuition universally valid, which Schelling identified with the aesthetic intuition . Absolute is revealed gradually in history. Nature and consciousness progress along a parallel development and following a mutual involvement (though unconscious) described as 'polarity' in which the occurrence of ever higher and complex forms of consciousness matches the progress of nature, by dynamic developing, toward forms ever more complex. By the impulse that pervades it, nature it is revealed as the shape and organization that exceeds the need and reveals itself as freedom, i.e. as spirit. It represents "the odyssey of the spirit" that - while seeking - "escapes himself."

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