what is monotonicity and strict monotonicity in preferences?

I am really confused between monotonic preferences and strictly monotonic preferences, I saw some video and read certain answer where it is mentioned that the

• When preferences are monotone / weak monotonic preference, the
  consumer prefers more of both goods.
• When preferences are strictly monotone or having strong monotonic
  preference, the consumer prefers more of one good but no less of
  the other.

(source: https://www.learnpick.in/questions/details/11169/what-is-a-monotonic-preference)

whereas when I read this other paper it says

• Monotonicity means that if c1 contains more of some or all
  commodities, but no less of any, than c2 (c1 ≥ c2) then c1 ≿ c2.
• Strict monotonicity means that if c1 contains more of each commodity
  than c2 (c1 > c2) then c1 strictly prefered c2

(source: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2008/REUPapers/Shon.pdf)

I am confused as both the answers are quite contradicting as the (first as per sequence I mentioned) says that in strict preferences the consumer more of at least one good but no less of the other.

whereas (second as per sequence I mentioned) says in strict monotonicity we prefer more of both the goods. Also, I am able to understand the graphical representation of the monotonicity.
Please tell me where I am getting it wrong I am really stuck on this.
Thank you.