That's not what organic means. Technically organic can mean derived from something that is/was living, but it can also mean anything that contains hydrocarbons. Similarly inorganic can mean either something not contained within anything that is/was living (which honestly with how varied life is doesn't cover much), or else something not containing carbon.

That however is the actual definition of organic as opposed to how it's used in marketing material. When talking about marketing, organic just means that a particular subset of approved pesticides and possibly fertilizers, was used in growing the produce. It has no particular meaning beyond that when used as a marketing term. In particular what pesticides are or are not approved is at the discretion of the organization providing the organic certification, so depending on where you are and what group is certifying a product as organic will determine what was used in growing it.