Heresy means the teaching of the error and heretic, the person who teaches it, that is to say Master of the error. The concept of heresy is fundamentally an ethical and philosophical concept. The concept of heresy appears in the Letter to the Galatians 5:19: "The acts of the flesh are obvious: sexual immorality, impurity and debauchery; idolatry and witchcraft; hatred, discord, jealousy, fits of rage, selfish ambition, dissensions, heresy and envy, drunkeness, orgies".
In ethics there are two lifestyles:
1) to live according to the spirit, the righteous life that is to act always by principles, "do for others what you would like them to do for you", Matthew 7:12;
2) to live according to the flesh that is to practice sin.
Heresy is a fruit, a maturation of evil. In the book of Revelations we are teach about the typologies of personality that are adept to heresy: "Outisde are the dogs, those who practic magic arts, the sexually immoral, the murderers, the idolaters and everyone who loves and practices falsehood", Book of Revelations 22:15.
Heresy is the opposite of wisdom, understanding wisdom as the knowledge of the correct means to live. Wisdom comes from the art of listening, wisdom is the precise and the exact. Examples of wisdom that comes from listening are the teachings of Jesus:"Let any one of you who is whithout sin be the first to throw a stone to her", John 8:7, also "Give back to Caesar what is Caesar's, and to God what is God's", Matthew 22:21.
Taking into account this and as Thomas de Aquinas teaches: "Abstraction does not admit falsehood", heresy is not applicable to sciences and more precisely to the hard sciences such as mathematics or physics. In another sense Aristotle demonstrates in his book Metaphysics through the concepts of act and potence that between the primordial and eternal beings such as wisdom and mathematics, there is neither corruption nor falsity, that is, evil is not a nature, nor is its fruit the heresy a science, there is no evil or heresy in an ontological sense. Ontology is the branch of metaphysics that studies the beings as such, evil is presented to us as a deprivation: "bad is said to the man deprived of virtue," Thomas Aquinas. Heresy is not science, nor opinion, nor ignorance, are affirmations or denials that are presented to the reason as true.