simple problem - error 1066 Not Unique table/alias

[Michael Ducharme]

Probably an easy problem. Two tables. I want to select 2 names from Person table. I think a join table would be overboard for this simple requirement, let me know.

person (table)
- id_person
- name

place (table)
- id_place
- name
- id_person1 [fk person.id_person]
- id_person2 [fk person.id_person]

SELECT place.name AS place_name, person.name AS name1, person.name AS name2
FROM place
INNER JOIN person ON place.id_person1=person.id_person
INNER JOIN person ON place.id_person2=person.id_person

ERROR 1066 (42000): Not unique table/alias: 'person'

Wanting output as
place_name: "This Place"
name1: "Fname Lname"
name2: "Fname Lname"

tia