Objective reality is defined by consensus. The fact that we can agree on a consensus, a version of reality not entirely dependent on our own experience, indicates that reality objectively exists.
Axioms are self-evident realities, the existence of which is accepted as given and on which further conceptions are generated.
In philosophy, reality is contrasted with nonexistence (penguins do exist; so they are real) and mere possibility (a mountain made of gold is merely possible, but is not real) unless they are discovered.
In psychiatry, reality, or rather, the idea of being in touch with reality is integral to the notion of schizophrenia, since it has often been defined in part by reference to being "out of touch" with reality.
Consequent judgments are objective or subjective to varying degrees, and we divide reality into objectivereality and subjective reality.
Opposing skepticism regarding objectivereality, it is conceivable that there are markers of some sort in our subjective experiences distinguishing the reliable perceptions of objective truth from the illusions generated purely subjectively (hallucinations, misperceptions, perceptions of secondary qualities, etc.).
Descartes famously emphasized that subjective reality is better known than objectivereality, but knowledge of the objectivereality of ones own existence as a non-physical thinking thing is nearly as basic, or perhaps as basic, as ones knowledge of the subjective reality of ones own thinking.
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